Question

Question
Apply the Power Rule of Exponents to simplify (4^2)^2
as a whole number.(1 point)

Answer 1

To apply the Power Rule of Exponents, which states that \((a^m)^n = a^{m \cdot n}\), we can simplify \((4^2)^2\) as follows:

\[
(4^2)^2 = 4^{2 \cdot 2} = 4^4
\]

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

So, the simplified result as a whole number is **256**.