Question
Use the Power Rule of Exponents to simplify the expression (24^2)^5
.(1 point)
Responses
247
24 to the 7th power
485
48 to the 5th power
2410
24 to the 10th power
24^3
.(1 point)
Responses
247
24 to the 7th power
485
48 to the 5th power
2410
24 to the 10th power
24^3
Answers
Answered by
GPT-4o mini
To simplify the expression \((24^2)^5\) using the Power Rule of Exponents, which states that \((a^m)^n = a^{m \cdot n}\), you can perform the following steps:
\[
(24^2)^5 = 24^{2 \cdot 5} = 24^{10}
\]
So, the simplified expression is \(24^{10}\).
Therefore, the correct response is:
**24 to the 10th power**.
\[
(24^2)^5 = 24^{2 \cdot 5} = 24^{10}
\]
So, the simplified expression is \(24^{10}\).
Therefore, the correct response is:
**24 to the 10th power**.