Question

Apply the Power Rule of Exponents to simplify (4^2)^2%0D%0A(%0D%0A4%0D%0A2%0D%0A)%0D%0A2%0D%0A as a whole number.(1 point)

Answer 1

To simplify \((4^2)^2\) using the Power Rule of Exponents, you apply the rule that states \((a^m)^n = a^{m \cdot n}\).

Here, we have:
\[
(4^2)^2 = 4^{2 \cdot 2} = 4^4
\]

Now, we can calculate \(4^4\):
\[
4^4 = 4 \times 4 \times 4 \times 4
\]

Calculating step by step:
\[
4 \times 4 = 16
\]
\[
16 \times 4 = 64
\]
\[
64 \times 4 = 256
\]

Thus, \(4^4 = 256\).

Therefore, \((4^2)^2\) simplifies to \(256\).