Question

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

5^15
5 to the 15th power

5^50
5 to the 50th power

25^50
25 to the 50th power

25^15
25 to the 15th power

Answer 1

To simplify \( 5^{10} \cdot 5^{5} \) using the Product Rule of Exponents, you add the exponents. The Product Rule states that \( a^m \cdot a^n = a^{m+n} \).

In this case:

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

Therefore, the simplified expression is:

**5^15** (or **5 to the 15th power**)