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Introduction
There will be an exponent rule quiz on monday. Stop by the library if you need extra tutoring!
Base
For example, in the problem 3^2 the base would be 3 because it is the number being multiplied.
Sure thing, lets start with the basics! An exponent consists of a base. The base is the number that tells what expression is being multiplied.
Hello Mr.Ma, I've been having a hard time understanding exponent rules. I was wondering if you can explain them to me for Monday's quiz!
Exponent
That's the exponent. which is the number or expression that indicates how many times a number is multiplied by itself.
That's spot on!
So the problem 7^3 the base 7 would multiply itself 3 times?
Ahh I see! What is the number on top of the base??
Product Rule
When multiplying expnonential expressions, the exponent is added when the base is the same.
Now you must now the product rule!
So if I was multiplying n^4 + n^5, the answer would be n^20?
What is that??
Quotient Rule
False. Accroding to the Quotient Rule, we actually do the opposite. Instead of adding, we subtract the exponents when the bases are the same.
Ohh, so in the problem a^5 divided by a^3, it would equal to a^2
Does that mean you also add the exponents when dividing exponential expressions?
Power to Power Rule
For example, the problem (x^4)^4 you would just multiply the exponents together which would equal to x^16
The power to power rule is used when an exponent is raised to another exponent, you just simply multiply them together.
How does the power to power rule work?
Incorrect. Remember, we are adding the exponents instead of multiplying. So the product would be n^9.
Ohh yea, I understand now!
That's correct! You are a very fast learner!
That makes sense!
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