Asked by Alto Saxaphone
Use the Product Rule of Exponents to simplify 5^10⋅5^5
(1 point)
Responses
25^15
5^15
25^50
5^50
(1 point)
Responses
25^15
5^15
25^50
5^50
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 simplified expression is \( 5^{15} \).
The correct response is:
**5^15**
\[
5^{10} \cdot 5^{5} = 5^{10 + 5} = 5^{15}
\]
So the simplified expression is \( 5^{15} \).
The correct response is:
**5^15**
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