by Lily Strickland
Product of Powers Property: to multiply two powers that have the same base, add their exponents.
Ex. a^m times a^p= a^m+p
Power to a Power Property: to find a power of a power, multiply the exponents.
(a^m)^p= a^mp
Power of a Product Property: to find a power of a product, find the power of each factor and multiply.
(ab)^m=a^mb^m
Quotient of Powers Property: to divide two powers with the same base, subtract the exponents.
a^m/a^p=a^m-p
Zero Exponent Property: any nonzero number raised to the zero power is equal to 1.
a^0=1
a^-n=1/a^n
b^1/n= nth root of b
Attention class, when you are finished with the think pair share, check your work on the board!
INVASION
Dude that math lesson about exponents was so stupid. We're never ACTUALLY going to use that in real life.
EXACTLY! Math is so.............................WHAT IS THAT???????
Greetings, earthlings. We were given a report that the world's intelligence is slowly deteriorating.
Therefore we will be testing the average person's intelligence by choosing a random mathematical subject. If you fail, we will terminate all humankind. Your subject is ...... exponetents.
First question involves the Power to a Power Property: (x^-7)^-3
NOOOO
Wait! We CAN do this. Just remember the lesson in math today.
In a power to a power property you multiply the exponents.
So the answer is x^21 because -7 times -3 equals 21.
Correct! Next question: (4x^3y^2)^3
According to the Power of a Product Property, if there is an exponent outside the parathesis you apply it to each factor.
So you do
4^3 (x^3)^3(y^-2)^3
which simplifies to
64x^9y^-6
Very impressive! Your next question uses the Quotient of Powers Property.
4^5/4^3
The quotient of powers property states that products with the same base can be divided by subtracting their exponents.
Since 5-3 is 2 and the base 4 stays the same, the answer is 4^2
Correct. Next question: 15^0
Easy! By using the zero exponent property, any number raised to the power of 0 equals one so 15^0 is 1.
Correct. Next question:
y/y^-4
The negative exponent property states that for any nonzero number a and any integer n, a^-n is the reciprocal of 1/a^n. Also the reciprocal of a^-n is 1/a^n.
Therefore, you would make the exponent 3 positive and multiply it by positive 2. The final answer is 4^5.
You may think you have saved mankind but there's no way you will be able to do this last question.
What is the fifth root of 243?
The rational exponent property states that for any nonnegative real number b and any positive integer n, b^1/n=the square root of b.
Since 3^5 is 243.
The fifth power of 243 is 3.
I suppose they are smarter than we thought......time to go home.
WE DID IT!!!!!!! WE SAVED THE WORLD!!!
Wait.....did we just save the world by doing MATH? Maybe math does apply to real life.....sometimes.
by Lily Strickland
Product of Powers Property: to multiply two powers that have the same base, add their exponents.
Ex. a^m times a^p= a^m+p
Power to a Power Property: to find a power of a power, multiply the exponents.
(a^m)^p= a^mp
Power of a Product Property: to find a power of a product, find the power of each factor and multiply.
(ab)^m=a^mb^m
Quotient of Powers Property: to divide two powers with the same base, subtract the exponents.
a^m/a^p=a^m-p
Zero Exponent Property: any nonzero number raised to the zero power is equal to 1.
a^0=1
a^-n=1/a^n
b^1/n= nth root of b
Attention class, when you are finished with the think pair share, check your work on the board!
INVASION
Dude that math lesson about exponents was so stupid. We're never ACTUALLY going to use that in real life.
EXACTLY! Math is so.............................WHAT IS THAT???????
Greetings, earthlings. We were given a report that the world's intelligence is slowly deteriorating.
Therefore we will be testing the average person's intelligence by choosing a random mathematical subject. If you fail, we will terminate all humankind. Your subject is ...... exponetents.
First question involves the Power to a Power Property: (x^-7)^-3
NOOOO
Wait! We CAN do this. Just remember the lesson in math today.
In a power to a power property you multiply the exponents.
So the answer is x^21 because -7 times -3 equals 21.
Correct! Next question: (4x^3y^2)^3
According to the Power of a Product Property, if there is an exponent outside the parathesis you apply it to each factor.
So you do
4^3 (x^3)^3(y^-2)^3
which simplifies to
64x^9y^-6
Very impressive! Your next question uses the Quotient of Powers Property.
4^5/4^3
The quotient of powers property states that products with the same base can be divided by subtracting their exponents.
Since 5-3 is 2 and the base 4 stays the same, the answer is 4^2
Correct. Next question: 15^0
Easy! By using the zero exponent property, any number raised to the power of 0 equals one so 15^0 is 1.
Correct. Next question:
y/y^-4
The negative exponent property states that for any nonzero number a and any integer n, a^-n is the reciprocal of 1/a^n. Also the reciprocal of a^-n is 1/a^n.
Therefore, you would make the exponent 3 positive and multiply it by positive 2. The final answer is 4^5.
You may think you have saved mankind but there's no way you will be able to do this last question.
What is the fifth root of 243?
The rational exponent property states that for any nonnegative real number b and any positive integer n, b^1/n=the square root of b.
Since 3^5 is 243.
The fifth power of 243 is 3.
I suppose they are smarter than we thought......time to go home.
WE DID IT!!!!!!! WE SAVED THE WORLD!!!
Wait.....did we just save the world by doing MATH? Maybe math does apply to real life.....sometimes.
by Lily Strickland
Product of Powers Property: to multiply two powers that have the same base, add their exponents.
Ex. a^m times a^p= a^m+p
Power to a Power Property: to find a power of a power, multiply the exponents.
(a^m)^p= a^mp
Power of a Product Property: to find a power of a product, find the power of each factor and multiply.
(ab)^m=a^mb^m
Quotient of Powers Property: to divide two powers with the same base, subtract the exponents.
a^m/a^p=a^m-p
Zero Exponent Property: any nonzero number raised to the zero power is equal to 1.
a^0=1
a^-n=1/a^n
b^1/n= nth root of b
Attention class, when you are finished with the think pair share, check your work on the board!
INVASION
Dude that math lesson about exponents was so stupid. We're never ACTUALLY going to use that in real life.
EXACTLY! Math is so.............................WHAT IS THAT???????
Greetings, earthlings. We were given a report that the world's intelligence is slowly deteriorating.
Therefore we will be testing the average person's intelligence by choosing a random mathematical subject. If you fail, we will terminate all humankind. Your subject is ...... exponetents.
First question involves the Power to a Power Property: (x^-7)^-3
NOOOO
Wait! We CAN do this. Just remember the lesson in math today.
In a power to a power property you multiply the exponents.
So the answer is x^21 because -7 times -3 equals 21.
Correct! Next question: (4x^3y^2)^3
According to the Power of a Product Property, if there is an exponent outside the parathesis you apply it to each factor.
So you do
4^3 (x^3)^3(y^-2)^3
which simplifies to
64x^9y^-6
Very impressive! Your next question uses the Quotient of Powers Property.
4^5/4^3
The quotient of powers property states that products with the same base can be divided by subtracting their exponents.
Since 5-3 is 2 and the base 4 stays the same, the answer is 4^2
Correct. Next question: 15^0
Easy! By using the zero exponent property, any number raised to the power of 0 equals one so 15^0 is 1.
Correct. Next question:
y/y^-4
The negative exponent property states that for any nonzero number a and any integer n, a^-n is the reciprocal of 1/a^n. Also the reciprocal of a^-n is 1/a^n.
Therefore, you would make the exponent 3 positive and multiply it by positive 2. The final answer is 4^5.
You may think you have saved mankind but there's no way you will be able to do this last question.
What is the fifth root of 243?
The rational exponent property states that for any nonnegative real number b and any positive integer n, b^1/n=the square root of b.
Since 3^5 is 243.
The fifth power of 243 is 3.
I suppose they are smarter than we thought......time to go home.
WE DID IT!!!!!!! WE SAVED THE WORLD!!!
Wait.....did we just save the world by doing MATH? Maybe math does apply to real life.....sometimes.
by Lily Strickland
Product of Powers Property: to multiply two powers that have the same base, add their exponents.
Ex. a^m times a^p= a^m+p
Power to a Power Property: to find a power of a power, multiply the exponents.
(a^m)^p= a^mp
Power of a Product Property: to find a power of a product, find the power of each factor and multiply.
(ab)^m=a^mb^m
Quotient of Powers Property: to divide two powers with the same base, subtract the exponents.
a^m/a^p=a^m-p
Zero Exponent Property: any nonzero number raised to the zero power is equal to 1.
a^0=1
a^-n=1/a^n
b^1/n= nth root of b
Attention class, when you are finished with the think pair share, check your work on the board!
INVASION
Dude that math lesson about exponents was so stupid. We're never ACTUALLY going to use that in real life.
EXACTLY! Math is so.............................WHAT IS THAT???????
Greetings, earthlings. We were given a report that the world's intelligence is slowly deteriorating.
Therefore we will be testing the average person's intelligence by choosing a random mathematical subject. If you fail, we will terminate all humankind. Your subject is ...... exponetents.
First question involves the Power to a Power Property: (x^-7)^-3
NOOOO
Wait! We CAN do this. Just remember the lesson in math today.
In a power to a power property you multiply the exponents.
So the answer is x^21 because -7 times -3 equals 21.
Correct! Next question: (4x^3y^2)^3
According to the Power of a Product Property, if there is an exponent outside the parathesis you apply it to each factor.
So you do
4^3 (x^3)^3(y^-2)^3
which simplifies to
64x^9y^-6
Very impressive! Your next question uses the Quotient of Powers Property.
4^5/4^3
The quotient of powers property states that products with the same base can be divided by subtracting their exponents.
Since 5-3 is 2 and the base 4 stays the same, the answer is 4^2
Correct. Next question: 15^0
Easy! By using the zero exponent property, any number raised to the power of 0 equals one so 15^0 is 1.
Correct. Next question:
y/y^-4
The negative exponent property states that for any nonzero number a and any integer n, a^-n is the reciprocal of 1/a^n. Also the reciprocal of a^-n is 1/a^n.
Therefore, you would make the exponent 3 positive and multiply it by positive 2. The final answer is 4^5.
You may think you have saved mankind but there's no way you will be able to do this last question.
What is the fifth root of 243?
The rational exponent property states that for any nonnegative real number b and any positive integer n, b^1/n=the square root of b.
Since 3^5 is 243.
The fifth power of 243 is 3.
I suppose they are smarter than we thought......time to go home.
WE DID IT!!!!!!! WE SAVED THE WORLD!!!
Wait.....did we just save the world by doing MATH? Maybe math does apply to real life.....sometimes.
by Lily Strickland
Product of Powers Property: to multiply two powers that have the same base, add their exponents.
Ex. a^m times a^p= a^m+p
Power to a Power Property: to find a power of a power, multiply the exponents.
(a^m)^p= a^mp
Power of a Product Property: to find a power of a product, find the power of each factor and multiply.
(ab)^m=a^mb^m
Quotient of Powers Property: to divide two powers with the same base, subtract the exponents.
a^m/a^p=a^m-p
Zero Exponent Property: any nonzero number raised to the zero power is equal to 1.
a^0=1
a^-n=1/a^n
b^1/n= nth root of b
Attention class, when you are finished with the think pair share, check your work on the board!
INVASION
Dude that math lesson about exponents was so stupid. We're never ACTUALLY going to use that in real life.
EXACTLY! Math is so.............................WHAT IS THAT???????
Greetings, earthlings. We were given a report that the world's intelligence is slowly deteriorating.
Therefore we will be testing the average person's intelligence by choosing a random mathematical subject. If you fail, we will terminate all humankind. Your subject is ...... exponetents.
First question involves the Power to a Power Property: (x^-7)^-3
NOOOO
Wait! We CAN do this. Just remember the lesson in math today.
In a power to a power property you multiply the exponents.
So the answer is x^21 because -7 times -3 equals 21.
Correct! Next question: (4x^3y^2)^3
According to the Power of a Product Property, if there is an exponent outside the parathesis you apply it to each factor.
So you do
4^3 (x^3)^3(y^-2)^3
which simplifies to
64x^9y^-6
Very impressive! Your next question uses the Quotient of Powers Property.
4^5/4^3
The quotient of powers property states that products with the same base can be divided by subtracting their exponents.
Since 5-3 is 2 and the base 4 stays the same, the answer is 4^2
Correct. Next question: 15^0
Easy! By using the zero exponent property, any number raised to the power of 0 equals one so 15^0 is 1.
Correct. Next question:
y/y^-4
The negative exponent property states that for any nonzero number a and any integer n, a^-n is the reciprocal of 1/a^n. Also the reciprocal of a^-n is 1/a^n.
Therefore, you would make the exponent 3 positive and multiply it by positive 2. The final answer is 4^5.
You may think you have saved mankind but there's no way you will be able to do this last question.
What is the fifth root of 243?
The rational exponent property states that for any nonnegative real number b and any positive integer n, b^1/n=the square root of b.
Since 3^5 is 243.
The fifth power of 243 is 3.
I suppose they are smarter than we thought......time to go home.
WE DID IT!!!!!!! WE SAVED THE WORLD!!!
Wait.....did we just save the world by doing MATH? Maybe math does apply to real life.....sometimes.
by Lily Strickland
Product of Powers Property: to multiply two powers that have the same base, add their exponents.
Ex. a^m times a^p= a^m+p
Power to a Power Property: to find a power of a power, multiply the exponents.
(a^m)^p= a^mp
Power of a Product Property: to find a power of a product, find the power of each factor and multiply.
(ab)^m=a^mb^m
Quotient of Powers Property: to divide two powers with the same base, subtract the exponents.
a^m/a^p=a^m-p
Zero Exponent Property: any nonzero number raised to the zero power is equal to 1.
a^0=1
a^-n=1/a^n
b^1/n= nth root of b
Attention class, when you are finished with the think pair share, check your work on the board!
INVASION
Dude that math lesson about exponents was so stupid. We're never ACTUALLY going to use that in real life.
EXACTLY! Math is so.............................WHAT IS THAT???????
Greetings, earthlings. We were given a report that the world's intelligence is slowly deteriorating.
Therefore we will be testing the average person's intelligence by choosing a random mathematical subject. If you fail, we will terminate all humankind. Your subject is ...... exponetents.
First question involves the Power to a Power Property: (x^-7)^-3
NOOOO
Wait! We CAN do this. Just remember the lesson in math today.
In a power to a power property you multiply the exponents.
So the answer is x^21 because -7 times -3 equals 21.
Correct! Next question: (4x^3y^2)^3
According to the Power of a Product Property, if there is an exponent outside the parathesis you apply it to each factor.
So you do
4^3 (x^3)^3(y^-2)^3
which simplifies to
64x^9y^-6
Very impressive! Your next question uses the Quotient of Powers Property.
4^5/4^3
The quotient of powers property states that products with the same base can be divided by subtracting their exponents.
Since 5-3 is 2 and the base 4 stays the same, the answer is 4^2
Correct. Next question: 15^0
Easy! By using the zero exponent property, any number raised to the power of 0 equals one so 15^0 is 1.
Correct. Next question:
y/y^-4
The negative exponent property states that for any nonzero number a and any integer n, a^-n is the reciprocal of 1/a^n. Also the reciprocal of a^-n is 1/a^n.
Therefore, you would make the exponent 3 positive and multiply it by positive 2. The final answer is 4^5.
You may think you have saved mankind but there's no way you will be able to do this last question.
What is the fifth root of 243?
The rational exponent property states that for any nonnegative real number b and any positive integer n, b^1/n=the square root of b.
Since 3^5 is 243.
The fifth power of 243 is 3.
I suppose they are smarter than we thought......time to go home.
WE DID IT!!!!!!! WE SAVED THE WORLD!!!
Wait.....did we just save the world by doing MATH? Maybe math does apply to real life.....sometimes.
by Lily Strickland
Product of Powers Property: to multiply two powers that have the same base, add their exponents.
Ex. a^m times a^p= a^m+p
Power to a Power Property: to find a power of a power, multiply the exponents.
(a^m)^p= a^mp
Power of a Product Property: to find a power of a product, find the power of each factor and multiply.
(ab)^m=a^mb^m
Quotient of Powers Property: to divide two powers with the same base, subtract the exponents.
a^m/a^p=a^m-p
Zero Exponent Property: any nonzero number raised to the zero power is equal to 1.
a^0=1
a^-n=1/a^n
b^1/n= nth root of b
Attention class, when you are finished with the think pair share, check your work on the board!
INVASION
Dude that math lesson about exponents was so stupid. We're never ACTUALLY going to use that in real life.
EXACTLY! Math is so.............................WHAT IS THAT???????
Greetings, earthlings. We were given a report that the world's intelligence is slowly deteriorating.
Therefore we will be testing the average person's intelligence by choosing a random mathematical subject. If you fail, we will terminate all humankind. Your subject is ...... exponetents.
First question involves the Power to a Power Property: (x^-7)^-3
NOOOO
Wait! We CAN do this. Just remember the lesson in math today.
In a power to a power property you multiply the exponents.
So the answer is x^21 because -7 times -3 equals 21.
Correct! Next question: (4x^3y^2)^3
According to the Power of a Product Property, if there is an exponent outside the parathesis you apply it to each factor.
So you do
4^3 (x^3)^3(y^-2)^3
which simplifies to
64x^9y^-6
Very impressive! Your next question uses the Quotient of Powers Property.
4^5/4^3
The quotient of powers property states that products with the same base can be divided by subtracting their exponents.
Since 5-3 is 2 and the base 4 stays the same, the answer is 4^2
Correct. Next question: 15^0
Easy! By using the zero exponent property, any number raised to the power of 0 equals one so 15^0 is 1.
Correct. Next question:
y/y^-4
The negative exponent property states that for any nonzero number a and any integer n, a^-n is the reciprocal of 1/a^n. Also the reciprocal of a^-n is 1/a^n.
Therefore, you would make the exponent 3 positive and multiply it by positive 2. The final answer is 4^5.
You may think you have saved mankind but there's no way you will be able to do this last question.
What is the fifth root of 243?
The rational exponent property states that for any nonnegative real number b and any positive integer n, b^1/n=the square root of b.
Since 3^5 is 243.
The fifth power of 243 is 3.
I suppose they are smarter than we thought......time to go home.
WE DID IT!!!!!!! WE SAVED THE WORLD!!!
Wait.....did we just save the world by doing MATH? Maybe math does apply to real life.....sometimes.
by Lily Strickland
Product of Powers Property: to multiply two powers that have the same base, add their exponents.
Ex. a^m times a^p= a^m+p
Power to a Power Property: to find a power of a power, multiply the exponents.
(a^m)^p= a^mp
Power of a Product Property: to find a power of a product, find the power of each factor and multiply.
(ab)^m=a^mb^m
Quotient of Powers Property: to divide two powers with the same base, subtract the exponents.
a^m/a^p=a^m-p
Zero Exponent Property: any nonzero number raised to the zero power is equal to 1.
a^0=1
a^-n=1/a^n
b^1/n= nth root of b
Attention class, when you are finished with the think pair share, check your work on the board!
INVASION
Dude that math lesson about exponents was so stupid. We're never ACTUALLY going to use that in real life.
EXACTLY! Math is so.............................WHAT IS THAT???????
Greetings, earthlings. We were given a report that the world's intelligence is slowly deteriorating.
Therefore we will be testing the average person's intelligence by choosing a random mathematical subject. If you fail, we will terminate all humankind. Your subject is ...... exponetents.
First question involves the Power to a Power Property: (x^-7)^-3
NOOOO
Wait! We CAN do this. Just remember the lesson in math today.
In a power to a power property you multiply the exponents.
So the answer is x^21 because -7 times -3 equals 21.
Correct! Next question: (4x^3y^2)^3
According to the Power of a Product Property, if there is an exponent outside the parathesis you apply it to each factor.
So you do
4^3 (x^3)^3(y^-2)^3
which simplifies to
64x^9y^-6
Very impressive! Your next question uses the Quotient of Powers Property.
4^5/4^3
The quotient of powers property states that products with the same base can be divided by subtracting their exponents.
Since 5-3 is 2 and the base 4 stays the same, the answer is 4^2
Correct. Next question: 15^0
Easy! By using the zero exponent property, any number raised to the power of 0 equals one so 15^0 is 1.
Correct. Next question:
y/y^-4
The negative exponent property states that for any nonzero number a and any integer n, a^-n is the reciprocal of 1/a^n. Also the reciprocal of a^-n is 1/a^n.
Therefore, you would make the exponent 3 positive and multiply it by positive 2. The final answer is 4^5.
You may think you have saved mankind but there's no way you will be able to do this last question.
What is the fifth root of 243?
The rational exponent property states that for any nonnegative real number b and any positive integer n, b^1/n=the square root of b.
Since 3^5 is 243.
The fifth power of 243 is 3.
I suppose they are smarter than we thought......time to go home.
WE DID IT!!!!!!! WE SAVED THE WORLD!!!
Wait.....did we just save the world by doing MATH? Maybe math does apply to real life.....sometimes.
by Lily Strickland
Product of Powers Property: to multiply two powers that have the same base, add their exponents.
Ex. a^m times a^p= a^m+p
Power to a Power Property: to find a power of a power, multiply the exponents.
(a^m)^p= a^mp
Power of a Product Property: to find a power of a product, find the power of each factor and multiply.
(ab)^m=a^mb^m
Quotient of Powers Property: to divide two powers with the same base, subtract the exponents.
a^m/a^p=a^m-p
Zero Exponent Property: any nonzero number raised to the zero power is equal to 1.
a^0=1
a^-n=1/a^n
b^1/n= nth root of b
Attention class, when you are finished with the think pair share, check your work on the board!
INVASION
Dude that math lesson about exponents was so stupid. We're never ACTUALLY going to use that in real life.
EXACTLY! Math is so.............................WHAT IS THAT???????
Greetings, earthlings. We were given a report that the world's intelligence is slowly deteriorating.
Therefore we will be testing the average person's intelligence by choosing a random mathematical subject. If you fail, we will terminate all humankind. Your subject is ...... exponetents.
First question involves the Power to a Power Property: (x^-7)^-3
NOOOO
Wait! We CAN do this. Just remember the lesson in math today.
In a power to a power property you multiply the exponents.
So the answer is x^21 because -7 times -3 equals 21.
Correct! Next question: (4x^3y^2)^3
According to the Power of a Product Property, if there is an exponent outside the parathesis you apply it to each factor.
So you do
4^3 (x^3)^3(y^-2)^3
which simplifies to
64x^9y^-6
Very impressive! Your next question uses the Quotient of Powers Property.
4^5/4^3
The quotient of powers property states that products with the same base can be divided by subtracting their exponents.
Since 5-3 is 2 and the base 4 stays the same, the answer is 4^2
Correct. Next question: 15^0
Easy! By using the zero exponent property, any number raised to the power of 0 equals one so 15^0 is 1.
Correct. Next question:
y/y^-4
The negative exponent property states that for any nonzero number a and any integer n, a^-n is the reciprocal of 1/a^n. Also the reciprocal of a^-n is 1/a^n.
Therefore, you would make the exponent 3 positive and multiply it by positive 2. The final answer is 4^5.
You may think you have saved mankind but there's no way you will be able to do this last question.
What is the fifth root of 243?
The rational exponent property states that for any nonnegative real number b and any positive integer n, b^1/n=the square root of b.
Since 3^5 is 243.
The fifth power of 243 is 3.
I suppose they are smarter than we thought......time to go home.
WE DID IT!!!!!!! WE SAVED THE WORLD!!!
Wait.....did we just save the world by doing MATH? Maybe math does apply to real life.....sometimes.
by Lily Strickland
Product of Powers Property: to multiply two powers that have the same base, add their exponents.
Ex. a^m times a^p= a^m+p
Power to a Power Property: to find a power of a power, multiply the exponents.
(a^m)^p= a^mp
Power of a Product Property: to find a power of a product, find the power of each factor and multiply.
(ab)^m=a^mb^m
Quotient of Powers Property: to divide two powers with the same base, subtract the exponents.
a^m/a^p=a^m-p
Zero Exponent Property: any nonzero number raised to the zero power is equal to 1.
a^0=1
a^-n=1/a^n
b^1/n= nth root of b
Attention class, when you are finished with the think pair share, check your work on the board!
INVASION
Dude that math lesson about exponents was so stupid. We're never ACTUALLY going to use that in real life.
EXACTLY! Math is so.............................WHAT IS THAT???????
Greetings, earthlings. We were given a report that the world's intelligence is slowly deteriorating.
Therefore we will be testing the average person's intelligence by choosing a random mathematical subject. If you fail, we will terminate all humankind. Your subject is ...... exponetents.
First question involves the Power to a Power Property: (x^-7)^-3
NOOOO
Wait! We CAN do this. Just remember the lesson in math today.
In a power to a power property you multiply the exponents.
So the answer is x^21 because -7 times -3 equals 21.
Correct! Next question: (4x^3y^2)^3
According to the Power of a Product Property, if there is an exponent outside the parathesis you apply it to each factor.
So you do
4^3 (x^3)^3(y^-2)^3
which simplifies to
64x^9y^-6
Very impressive! Your next question uses the Quotient of Powers Property.
4^5/4^3
The quotient of powers property states that products with the same base can be divided by subtracting their exponents.
Since 5-3 is 2 and the base 4 stays the same, the answer is 4^2
Correct. Next question: 15^0
Easy! By using the zero exponent property, any number raised to the power of 0 equals one so 15^0 is 1.
Correct. Next question:
y/y^-4
The negative exponent property states that for any nonzero number a and any integer n, a^-n is the reciprocal of 1/a^n. Also the reciprocal of a^-n is 1/a^n.
Therefore, you would make the exponent 3 positive and multiply it by positive 2. The final answer is 4^5.
You may think you have saved mankind but there's no way you will be able to do this last question.
What is the fifth root of 243?
The rational exponent property states that for any nonnegative real number b and any positive integer n, b^1/n=the square root of b.
Since 3^5 is 243.
The fifth power of 243 is 3.
I suppose they are smarter than we thought......time to go home.
WE DID IT!!!!!!! WE SAVED THE WORLD!!!
Wait.....did we just save the world by doing MATH? Maybe math does apply to real life.....sometimes.
by Lily Strickland
Product of Powers Property: to multiply two powers that have the same base, add their exponents.
Ex. a^m times a^p= a^m+p
Power to a Power Property: to find a power of a power, multiply the exponents.
(a^m)^p= a^mp
Power of a Product Property: to find a power of a product, find the power of each factor and multiply.
(ab)^m=a^mb^m
Quotient of Powers Property: to divide two powers with the same base, subtract the exponents.
a^m/a^p=a^m-p
Zero Exponent Property: any nonzero number raised to the zero power is equal to 1.
a^0=1
a^-n=1/a^n
b^1/n= nth root of b
Attention class, when you are finished with the think pair share, check your work on the board!
INVASION
Dude that math lesson about exponents was so stupid. We're never ACTUALLY going to use that in real life.
EXACTLY! Math is so.............................WHAT IS THAT???????
Greetings, earthlings. We were given a report that the world's intelligence is slowly deteriorating.
Therefore we will be testing the average person's intelligence by choosing a random mathematical subject. If you fail, we will terminate all humankind. Your subject is ...... exponetents.
First question involves the Power to a Power Property: (x^-7)^-3
NOOOO
Wait! We CAN do this. Just remember the lesson in math today.
In a power to a power property you multiply the exponents.
So the answer is x^21 because -7 times -3 equals 21.
Correct! Next question: (4x^3y^2)^3
According to the Power of a Product Property, if there is an exponent outside the parathesis you apply it to each factor.
So you do
4^3 (x^3)^3(y^-2)^3
which simplifies to
64x^9y^-6
Very impressive! Your next question uses the Quotient of Powers Property.
4^5/4^3
The quotient of powers property states that products with the same base can be divided by subtracting their exponents.
Since 5-3 is 2 and the base 4 stays the same, the answer is 4^2
Correct. Next question: 15^0
Easy! By using the zero exponent property, any number raised to the power of 0 equals one so 15^0 is 1.
Correct. Next question:
y/y^-4
The negative exponent property states that for any nonzero number a and any integer n, a^-n is the reciprocal of 1/a^n. Also the reciprocal of a^-n is 1/a^n.
Therefore, you would make the exponent 3 positive and multiply it by positive 2. The final answer is 4^5.
You may think you have saved mankind but there's no way you will be able to do this last question.
What is the fifth root of 243?
The rational exponent property states that for any nonnegative real number b and any positive integer n, b^1/n=the square root of b.
Since 3^5 is 243.
The fifth power of 243 is 3.
I suppose they are smarter than we thought......time to go home.
WE DID IT!!!!!!! WE SAVED THE WORLD!!!
Wait.....did we just save the world by doing MATH? Maybe math does apply to real life.....sometimes.
by Lily Strickland
Product of Powers Property: to multiply two powers that have the same base, add their exponents.
Ex. a^m times a^p= a^m+p
Power to a Power Property: to find a power of a power, multiply the exponents.
(a^m)^p= a^mp
Power of a Product Property: to find a power of a product, find the power of each factor and multiply.
(ab)^m=a^mb^m
Quotient of Powers Property: to divide two powers with the same base, subtract the exponents.
a^m/a^p=a^m-p
Zero Exponent Property: any nonzero number raised to the zero power is equal to 1.
a^0=1
a^-n=1/a^n
b^1/n= nth root of b
Attention class, when you are finished with the think pair share, check your work on the board!
INVASION
Dude that math lesson about exponents was so stupid. We're never ACTUALLY going to use that in real life.
EXACTLY! Math is so.............................WHAT IS THAT???????
Greetings, earthlings. We were given a report that the world's intelligence is slowly deteriorating.
Therefore we will be testing the average person's intelligence by choosing a random mathematical subject. If you fail, we will terminate all humankind. Your subject is ...... exponetents.
First question involves the Power to a Power Property: (x^-7)^-3
NOOOO
Wait! We CAN do this. Just remember the lesson in math today.
In a power to a power property you multiply the exponents.
So the answer is x^21 because -7 times -3 equals 21.
Correct! Next question: (4x^3y^2)^3
According to the Power of a Product Property, if there is an exponent outside the parathesis you apply it to each factor.
So you do
4^3 (x^3)^3(y^-2)^3
which simplifies to
64x^9y^-6
Very impressive! Your next question uses the Quotient of Powers Property.
4^5/4^3
The quotient of powers property states that products with the same base can be divided by subtracting their exponents.
Since 5-3 is 2 and the base 4 stays the same, the answer is 4^2
Correct. Next question: 15^0
Easy! By using the zero exponent property, any number raised to the power of 0 equals one so 15^0 is 1.
Correct. Next question:
y/y^-4
The negative exponent property states that for any nonzero number a and any integer n, a^-n is the reciprocal of 1/a^n. Also the reciprocal of a^-n is 1/a^n.
Therefore, you would make the exponent 3 positive and multiply it by positive 2. The final answer is 4^5.
You may think you have saved mankind but there's no way you will be able to do this last question.
What is the fifth root of 243?
The rational exponent property states that for any nonnegative real number b and any positive integer n, b^1/n=the square root of b.
Since 3^5 is 243.
The fifth power of 243 is 3.
I suppose they are smarter than we thought......time to go home.
WE DID IT!!!!!!! WE SAVED THE WORLD!!!
Wait.....did we just save the world by doing MATH? Maybe math does apply to real life.....sometimes.
by Lily Strickland
Product of Powers Property: to multiply two powers that have the same base, add their exponents.
Ex. a^m times a^p= a^m+p
Power to a Power Property: to find a power of a power, multiply the exponents.
(a^m)^p= a^mp
Power of a Product Property: to find a power of a product, find the power of each factor and multiply.
(ab)^m=a^mb^m
Quotient of Powers Property: to divide two powers with the same base, subtract the exponents.
a^m/a^p=a^m-p
Zero Exponent Property: any nonzero number raised to the zero power is equal to 1.
a^0=1
a^-n=1/a^n
b^1/n= nth root of b
Attention class, when you are finished with the think pair share, check your work on the board!
INVASION
Dude that math lesson about exponents was so stupid. We're never ACTUALLY going to use that in real life.
EXACTLY! Math is so.............................WHAT IS THAT???????
Greetings, earthlings. We were given a report that the world's intelligence is slowly deteriorating.
Therefore we will be testing the average person's intelligence by choosing a random mathematical subject. If you fail, we will terminate all humankind. Your subject is ...... exponetents.
First question involves the Power to a Power Property: (x^-7)^-3
NOOOO
Wait! We CAN do this. Just remember the lesson in math today.
In a power to a power property you multiply the exponents.
So the answer is x^21 because -7 times -3 equals 21.
Correct! Next question: (4x^3y^2)^3
According to the Power of a Product Property, if there is an exponent outside the parathesis you apply it to each factor.
So you do
4^3 (x^3)^3(y^-2)^3
which simplifies to
64x^9y^-6
Very impressive! Your next question uses the Quotient of Powers Property.
4^5/4^3
The quotient of powers property states that products with the same base can be divided by subtracting their exponents.
Since 5-3 is 2 and the base 4 stays the same, the answer is 4^2
Correct. Next question: 15^0
Easy! By using the zero exponent property, any number raised to the power of 0 equals one so 15^0 is 1.
Correct. Next question:
y/y^-4
The negative exponent property states that for any nonzero number a and any integer n, a^-n is the reciprocal of 1/a^n. Also the reciprocal of a^-n is 1/a^n.
Therefore, you would make the exponent 3 positive and multiply it by positive 2. The final answer is 4^5.
You may think you have saved mankind but there's no way you will be able to do this last question.
What is the fifth root of 243?
The rational exponent property states that for any nonnegative real number b and any positive integer n, b^1/n=the square root of b.
Since 3^5 is 243.
The fifth power of 243 is 3.
I suppose they are smarter than we thought......time to go home.
WE DID IT!!!!!!! WE SAVED THE WORLD!!!
Wait.....did we just save the world by doing MATH? Maybe math does apply to real life.....sometimes.