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Popular >

simplify [(3^2)^2]^4

Solution

simplify

[(3^{2})^{2}]^{4}

Solution

43046721

Solution steps

[(3^{2})^{2}]^{4}

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

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

Apply exponent rule:

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

= 3^{4 \cdot 4}

Multiply the numbers:

4 \cdot 4 = 16

= 3^{16}

3^{16} = 43046721

= 43046721

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Frequently Asked Questions (FAQ)

What is [(3^2)^2]^4 ?
The solution to [(3^2)^2]^4 is 43046721