Question

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

25 to the power of 15
25 superscript 15 baseline

5 to the power of 15
5 superscript 15 baseline

25 to the power of 50
25 superscript 50 baseline

5 to the power of 50

Answer 1

To simplify \( 5^{10} \cdot 5^{5} \) using the Product Rule of Exponents, you add the exponents:

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

Therefore, the simplified expression is:

**5 to the power of 15** (or \( 5^{15} \)).