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Popular >

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

Solution

simplify

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

Solution

43046721

Solution steps

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

(3^{2})^{4} : 3^{8}

= [3^{8}]^{2}

Apply exponent rule:

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

= 3^{8 \cdot 2}

Multiply the numbers:

8 \cdot 2 = 16

= 3^{16}

3^{16} = 43046721

= 43046721

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Frequently Asked Questions (FAQ)

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