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Popular >

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

Solution

simplify

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

Solution

\frac{1}{729}

+1

Decimal Notation

0.00137 \dots

Solution steps

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

Apply exponent rule:

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

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

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

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

= \frac{1}{729}

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Frequently Asked Questions (FAQ)

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