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Simplify the expression [tex]\left(6^2\right)^4[/tex].
To simplify the expression [tex]\(\left(6^2\right)^4\)[/tex], let's go through it step-by-step:
1. First, evaluate the power inside the parentheses: [tex]\[
6^2 = 36
\][/tex]
2. Now, take the result from step 1 and raise it to the power of 4: [tex]\[
36^4
\][/tex]
3. Notice that [tex]\(\left(6^2\right)^4\)[/tex] can be simplified using the property of exponents [tex]\((a^m)^n = a^{m \cdot n}\)[/tex]. In this case: [tex]\[
\left(6^2\right)^4 = 6^{2 \cdot 4}
\][/tex]
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