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Popular >

simplify (-216)^{-1/3}

Solution

simplify

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

Solution

- \frac{1}{6}

+1

Decimal Notation

- 0.16666 \dots

Solution steps

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

Apply exponent rule:

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

= \frac{1}{( - 216 ) ^{\frac{1}{3}}}

(- 216)^{\frac{1}{3}} = - 21 6^{\frac{1}{3}}

= \frac{1}{- 21 6 ^{\frac{1}{3}}}

Apply the fraction rule:

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

= - \frac{1}{21 6 ^{\frac{1}{3}}}

21 6^{\frac{1}{3}} = 6

= - \frac{1}{6}

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Frequently Asked Questions (FAQ)

What is (-216)^{-1/3} ?
The solution to (-216)^{-1/3} is -1/6