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Popular >

simplify (-1/(3^{-3)})^{-2}

Solution

simplify

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

Solution

\frac{1}{729}

+1

Decimal Notation

0.00137 \dots

Solution steps

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

Apply exponent rule:

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

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

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

(- \frac{1}{3 ^{- 3}})^{2} = 729

= \frac{1}{729}

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Frequently Asked Questions (FAQ)

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