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Popular >

simplify {[(3)^{-1}]^{-3}}^{-2}

Solution

simplify

{[(3)^{- 1}]^{- 3}}^{- 2}

Solution

\frac{1}{729}

+1

Decimal

0.00137 \dots

Solution steps

{[(3)^{- 1}]^{- 3}}^{- 2}

[3^{- 1}]^{- 3} : 3^{3}

= {3^{3}}^{- 2}

Apply exponent rule:

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

= \frac{1}{( 3 ^{3} ) ^{2}}

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

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

3^{6} = 729

= \frac{1}{729}

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Frequently Asked Questions (FAQ)

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