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

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

Sagot :

GinnyAnswer
To simplify the expression \(\left(6^2\right)^4\), we can use the property of exponents known as the power of a power property. This property states that \((a^m)^n = a^{m \times n}\).

Given the expression \(\left(6^2\right)^4\):
1. Identify the base \(a\), the first exponent \(m\), and the second exponent \(n\):
- Base \(a = 6\)
- First exponent \(m = 2\)
- Second exponent \(n = 4\)

2. Using the power of a power property, multiply the exponents:
[tex]\[ 6^{2 \times 4} \][/tex]

3. Calculate the product of the exponents:
[tex]\[ 2 \times 4 = 8 \][/tex]

So, the simplified expression is:
[tex]\[ 6^8 \][/tex]

Therefore, the answer in the box should be [tex]\(6^{\boxed{8}}\)[/tex].
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