Use the Product Rule of Exponents to simplify 510⋅55

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, we 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 superscript 15 baseline.