To simplify the expression [tex]\(\left(6^2\right)^4\)[/tex], we will follow these steps:
1. First, resolve the innermost exponentiation:
[tex]\[
6^2
\][/tex]
Calculating [tex]\(6^2\)[/tex]:
[tex]\[
6^2 = 36
\][/tex]
So, the expression simplifies to:
[tex]\[
\left(6^2\right)^4 = 36^4
\][/tex]
2. Next, evaluate the outer exponentiation:
[tex]\[
36^4
\][/tex]
Calculating [tex]\(36^4\)[/tex]:
[tex]\[
36^4 = 1679616
\][/tex]
Therefore, the simplified form of [tex]\(\left(6^2\right)^4\)[/tex] is:
[tex]\[
\boxed{1679616}
\][/tex]
