Use the Power Rule of Exponents to simplify the expression (242)5.(1 point) Responses 485 48 superscript 5 baseline 243 24 superscript 3 baseline 247 24 superscript 7 baseline 2410

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 follow these steps:

1. Identify \(a = 24\), \(m = 2\), and \(n = 5\).
2. Apply the Power Rule: \[ (24^2)^5 = 24^{2 \cdot 5} = 24^{10} \]

So, the simplified expression is:

\(24^{10}\)

Thus, the correct response is 2410.