Use the Product Rule of Exponents to simplify 5^10⋅5^5

Question

(1 point)
Responses

2550
25 superscript 50 baseline

515
5 superscript 15 baseline

550
5 superscript 50 baseline

2515

Answer 1

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

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

So the correct answer is:

\[ 5^{15} \]

This corresponds to the response:

\( 5^{15} \)