Question

Use the Product Rule of Exponents to simplify 510⋅55
(1 point)
Responses

2515

25 superscript 15 baseline
550
5 superscript 50 baseline
2550
25 superscript 50 baseline
515

Answer 1

To simplify \( 5^{10} \cdot 5^5 \) using the Product Rule of Exponents, which states that \( a^m \cdot a^n = a^{m+n} \), we can apply it as follows:

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

Therefore, the simplified result is:

\[
5^{15}
\]

So the correct response is:

**\( 5^{15} \)**