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Popular >

simplify (-1/27)^{-9^{-2^{-1}}}

Solution

simplify

(- \frac{1}{27})^{- 9^{- 2^{- 1}}}

Solution

- 3

Solution steps

(- \frac{1}{27})^{- 9^{- 2^{- 1}}}

Apply exponent rule:

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

(- \frac{1}{27})^{- 9^{- 2^{- 1}}} = \frac{1}{( - \frac{1}{27} ) ^{9^{- 2^{- 1}}}}

= \frac{1}{( - \frac{1}{27} ) ^{9^{- 2^{- 1}}}}

(- \frac{1}{27})^{9^{- 2^{- 1}}} = - \frac{1}{3}

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

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

= - 3

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Frequently Asked Questions (FAQ)

What is (-1/27)^{-9^{-2^{-1}}} ?
The solution to (-1/27)^{-9^{-2^{-1}}} is -3