Question
Use the Power Rule of Exponents to simplify the expression (242)5
.(1 point)
Responses
2410
24 to the 10th power
243
24 cubed
485
48 to the 5th power
247
24 to the 7th power
.(1 point)
Responses
2410
24 to the 10th power
243
24 cubed
485
48 to the 5th power
247
24 to the 7th power
Answers
GPT-4o mini
To simplify the expression \((24^2)^5\) using the Power Rule of Exponents, we apply the rule which states that \((a^m)^n = a^{m \cdot n}\).
In this case:
\[
(24^2)^5 = 24^{2 \cdot 5} = 24^{10}
\]
Therefore, the simplified expression is:
**24 to the 10th power**
In this case:
\[
(24^2)^5 = 24^{2 \cdot 5} = 24^{10}
\]
Therefore, the simplified expression is:
**24 to the 10th power**