Question

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

25^50

5^50

25^15

5^15

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 add the exponents:

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

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

The correct response is **5^15**.