Question

Use the Product Rule of Exponents to simplify 5 superscript
10⋅5 superscript 5
(1 point)
Responses

515
5 superscript 15 baseline

550
5 superscript 50 baseline

2550
25 superscript 50 baseline

25 superscript 15

Answer 1

To simplify \( 5^{10} \cdot 5^{5} \) using the Product Rule of Exponents, which states that when multiplying two powers with the same base, you add their exponents, we proceed as follows:

\[
5^{10} \cdot 5^{5} = 5^{10 + 5} = 5^{15}
\]

So the simplified expression is

\[
5^{15}
\]

Thus, the correct response is:
**\( 5^{15} \)**.