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Popular >

simplify (-243)^{-1/5}

Solution

simplify

(- 243)^{- \frac{1}{5}}

Solution

- \frac{1}{3}

+1

Decimal Notation

- 0.33333 \dots

Solution steps

(- 243)^{- \frac{1}{5}}

Apply exponent rule:

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

(- 243)^{- \frac{1}{5}} = \frac{1}{( - 243 ) ^{\frac{1}{5}}}

= \frac{1}{( - 243 ) ^{\frac{1}{5}}}

(- 243)^{\frac{1}{5}} = - 3

= \frac{1}{- 3}

Apply the fraction rule:

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

= - \frac{1}{3}

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Frequently Asked Questions (FAQ)

What is (-243)^{-1/5} ?
The solution to (-243)^{-1/5} is -1/3