Question

Identify the Exponent Law shown in the example below.

a^2a^3 = a^2+3 = a^5

Power of a Product

Power of a Power

Product of Powers

None of the Above

Answer 1

Are you multiplying?

Answer 2

you're adding

Answer 3

Why is it that I think this:
\[a^3a^2\]

Answer 4

means to multiply a^3 times a^2

Answer 5

but then it says to add

Answer 6

It is a multiplication problem.

Answer 7

What is the answer to a multiplication problem called?

Answer 8

product.

Answer 9

So we know it is a product. What are the factors we are multiplying? In other words, what is a^3? What is a^2?

Answer 10

its a to the 3rd power and a to the second power

Answer 11

So they are powers?

Answer 12

C

Answer 13

Yes. And the way we find the product of powers is to add the exponents.