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

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

mertsj · Answer

Are you multiplying?

anonymous · Answer

you're adding

mertsj · Answer

Why is it that I think this:
$$a^3a^2$$

mertsj · Answer

means to multiply a^3 times a^2

anonymous · Answer

but then it says to add

mertsj · Answer

It is a multiplication problem.

mertsj · Answer

What is the answer to a multiplication problem called?

anonymous · Answer

product.

mertsj · Answer

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?

anonymous · Answer

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

mertsj · Answer

So they are powers?

anonymous · Answer

C

mertsj · Answer

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