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Popular >

simplify (3^2)^{-3}

Solution

simplify

(3^{2})^{- 3}

Solution

\frac{1}{729}

+1

Decimal Notation

0.00137 \dots

Solution steps

(3^{2})^{- 3}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

= 3^{2 (- 3)}

2 (- 3) = - 6

= 3^{- 6}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

3^{- 6} = \frac{1}{3 ^{6}}

= \frac{1}{3 ^{6}}

3^{6} = 729

= \frac{1}{729}

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Frequently Asked Questions (FAQ)

What is (3^2)^{-3} ?
The solution to (3^2)^{-3} is 1/729