Use the Power Rule of Exponents to simplify the expression (24^2)^5

Question

.(1 point)
Responses

247
24 to the 7th power

485
48 to the 5th power

2410
24 to the 10th power

24^3

Answer 1

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.