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Popular >

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

Solution

simplify

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

Solution

531441

Solution steps

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

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

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

Apply exponent rule:

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

= 3^{4 \cdot 3}

Multiply the numbers:

4 \cdot 3 = 12

= 3^{12}

3^{12} = 531441

= 531441

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Frequently Asked Questions (FAQ)

What is [(3^2)^2]^3 ?
The solution to [(3^2)^2]^3 is 531441