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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}

(- 3)^{4} = 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