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

Question

(1 point)
Responses

25^15
25 to the 15th power

5^15
5 to the 15th power

25^50
25 to the 50th power

5^50

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 correct response is:

5^15 (5 to the 15th power)