What is (-32)^{-3/5} ?

The solution to (-32)^{-3/5} is -1/8

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simplify (-32)^{-3/5}

simplify

(- 32)^{- \frac{3}{5}}

- \frac{1}{8}

Decimal Notation

- 0.125

Solution steps

(- 32)^{- \frac{3}{5}}

Apply exponent rule:

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

(- 32)^{- \frac{3}{5}} = \frac{1}{( - 32 ) ^{\frac{3}{5}}}

= \frac{1}{( - 32 ) ^{\frac{3}{5}}}

(- 32)^{\frac{3}{5}} = - 3 2^{\frac{3}{5}}

= \frac{1}{- 3 2 ^{\frac{3}{5}}}

Apply the fraction rule:

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

= - \frac{1}{3 2 ^{\frac{3}{5}}}

3 2^{\frac{3}{5}} = 8

= - \frac{1}{8}

sin^{2} (x) (cot^{2} (x) + 1)

\frac{\frac{2}{\frac{3}{5}} + \frac{4}{\frac{6}{7}}}{\frac{1}{\frac{1}{5}} - \frac{1}{\frac{1}{3}}}

(x + 7) (x^{2} - 3 x + 2)

4 x^{2} + 12 + 9

\frac{a ^{\frac{2}{3}}}{b ^{\frac{1}{3}}} + \frac{b ^{\frac{2}{3}}}{a ^{\frac{1}{3}}}