Question

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

2515
25 superscript 15 baseline

515
5 superscript 15 baseline

550
5 superscript 50 baseline

2550

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 add the exponents:

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

So, the simplified expression is \( 5^{15} \).

The correct response is:
\( 5^{15} \) (515)