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Popular >

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

Solution

simplify

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

Solution

- 3^{\frac{1}{3}}

+1

Decimal Notation

- 1.44224 \dots

Solution steps

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

Apply exponent rule:

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

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

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

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

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

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

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

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1 + \frac{1}{7}

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Frequently Asked Questions (FAQ)

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