Use the Power Rule of Exponents to simplify the expression (242)5

.(1 point)
Responses

2410
24 superscript 10 baseline

485
48 superscript 5 baseline

247
24 superscript 7 baseline

243

1 answer

To simplify the expression \((242)^5\) using the Power Rule of Exponents, we apply the rule which states that \((a^m)^n = a^{m \cdot n}\).

In this case:

\[ (242)^5 = 2^{10} \cdot 41^5 \]

However, to keep it generic and focus on the simplification of the entire expression:

\((24^2)^5\) simplifies as follows:

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

So the correct answer is:

\[ 24^{10} \quad \text{(24 superscript 10)} \]

Therefore, the answer is:

24 superscript 10 baseline.