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

[tex]6^{\square}[/tex]

Sagot :

GinnyAnswer
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]

4. Multiply the exponents:
[tex]\[ 2 \cdot 4 = 8 \][/tex]

5. Hence, the simplified form of the expression is:
[tex]\[ 6^8 \][/tex]

So, entering the correct answer:

[tex]\[ 6^{\boxed{8}} \][/tex]
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