To find the value of the expression [tex]\(\left(2^4\right)^2\)[/tex], we'll follow these steps:
1. First, we need to evaluate the inner exponentiation [tex]\(2^4\)[/tex].
[tex]\[
2^4 = 2 \times 2 \times 2 \times 2 = 16
\][/tex]
So, [tex]\(2^4\)[/tex] equals 16.
2. Next, we take this result and raise it to the power of 2.
[tex]\[
(2^4)^2 = 16^2
\][/tex]
3. Now, we calculate [tex]\(16^2\)[/tex].
[tex]\[
16^2 = 16 \times 16 = 256
\][/tex]
Therefore, the value of the expression [tex]\(\left(2^4\right)^2\)[/tex] is 256.
