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Popular >

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

Solution

simplify

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

Solution

531441

Solution steps

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

(3^{3})^{2} : 3^{6}

= [3^{6}]^{2}

Apply exponent rule:

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

= 3^{6 \cdot 2}

Multiply the numbers:

6 \cdot 2 = 12

= 3^{12}

3^{12} = 531441

= 531441

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Frequently Asked Questions (FAQ)

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