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Popular >

simplify [(3^2)^2]^2

Solution

simplify

[(3^{2})^{2}]^{2}

Solution

6561

Solution steps

[(3^{2})^{2}]^{2}

(3^{2})^{2} : 3^{4}

= [3^{4}]^{2}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= 3^{4 \cdot 2}

Multiply the numbers:

4 \cdot 2 = 8

= 3^{8}

3^{8} = 6561

= 6561

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Frequently Asked Questions (FAQ)

What is [(3^2)^2]^2 ?
The solution to [(3^2)^2]^2 is 6561