Question

implify: 5^4×5^2

Why do we add the exponents?

(1 point)
Responses

Because the bases are the same and multiplying
Because the bases are the same and multiplying

Because the exponents are the same
Because the exponents are the same

Because the bases are different
Because the bases are different

Because the operation is division

Answer 1

To simplify \( 5^4 \times 5^2 \):

You add the exponents because the bases are the same and you are multiplying.

So,
\[
5^4 \times 5^2 = 5^{4+2} = 5^6
\]

The correct response is:

**Because the bases are the same and multiplying.**