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

Question

(1 point)
Responses

25^15

5^15

25^50

5^50

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 simplified expression is \( 5^{15} \).

The correct response is:

5^15