Question

Use the Power Rule of Exponents to simplify the expression (24 to the power of 2) to the power of 5
.(1 point)
Responses

485
48 superscript 5 baseline

243
24 superscript 3 baseline

2410
24 superscript 10 baseline

24 to the power of 7

Answer 1

To simplify the expression \((24^2)^5\) using the Power Rule of Exponents, which states that \((a^m)^n = a^{m \cdot n}\), we can multiply the exponents.

So, we have:

\[
(24^2)^5 = 24^{2 \cdot 5} = 24^{10}
\]

Therefore, the simplified expression is \(24^{10}\).

The correct response is:

**24 to the power of 10**.