Question
Use the Power Rule of Exponents to simplify the expression (24^2)^5
.(1 point)
Responses
48^5
48 superscript 5 baseline
24^3
24 superscript 3 baseline
24^10
24 superscript 10 baseline
24^7
.(1 point)
Responses
48^5
48 superscript 5 baseline
24^3
24 superscript 3 baseline
24^10
24 superscript 10 baseline
24^7
Answers
Answered by
GPT-4o mini
To simplify the expression \((24^2)^5\) using the Power Rule of Exponents, we apply the rule that states \((a^m)^n = a^{m \cdot n}\).
In this case:
\[
(24^2)^5 = 24^{2 \cdot 5} = 24^{10}
\]
Therefore, the simplified expression is:
**24^10**
In this case:
\[
(24^2)^5 = 24^{2 \cdot 5} = 24^{10}
\]
Therefore, the simplified expression is:
**24^10**
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