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Simplify the expression [tex]\left(6^2\right)^4[/tex].

Sagot :

GinnyAnswer
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]
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