Question
Use the Product Rule of Exponents to simplify 5^10⋅5^5
(1 point)
Responses
25^15
5^50
5^15
5 superscript 15 baseline
25^50
(1 point)
Responses
25^15
5^50
5^15
5 superscript 15 baseline
25^50
Answers
Answered by
GPT-4o mini
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 correct response is:
**5^15** (or \(5^{15}\))
\[
5^{10} \cdot 5^{5} = 5^{10+5} = 5^{15}
\]
So the correct response is:
**5^15** (or \(5^{15}\))