invasion
Storyboard Text
- INVASION
- Attention class, when you are finished with the think pair share, check your work on the board!
- 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???????
- by Lily Strickland
- 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.
- 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
- NOOOO
- Wait! We CAN do this. Just remember the lesson in math today.
- First question involves the Power to a Power Property: (x^-7)^-3
- 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)^3which simplifies to64x^9y^-6
- The quotient of powers property states that products with the same base can be divided by subtracting their exponents.
- Correct. Next question: 15^0
- Power to a Power Property: to find a power of a power, multiply the exponents. (a^m)^p= a^mp
- 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
- 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
- Very impressive! Your next question uses the Quotient of Powers Property.4^5/4^3
- Quotient of Powers Property: to divide two powers with the same base, subtract the exponents.a^m/a^p=a^m-p
- Since 5-3 is 2 and the base 4 stays the same, the answer is 4^2
- Zero Exponent Property: any nonzero number raised to the zero power is equal to 1.a^0=1
- 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.
- a^-n=1/a^n
- b^1/n= nth root of b
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