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Popular >

simplify (-1/32)^{-2/5}

Solution

simplify

(- \frac{1}{32})^{- \frac{2}{5}}

Solution

4

Solution steps

(- \frac{1}{32})^{- \frac{2}{5}}

Apply exponent rule:

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

(- \frac{1}{32})^{- \frac{2}{5}} = \frac{1}{( - \frac{1}{32} ) ^{\frac{2}{5}}}

= \frac{1}{( - \frac{1}{32} ) ^{\frac{2}{5}}}

(- \frac{1}{32})^{\frac{2}{5}} = (\frac{1}{32})^{\frac{2}{5}}

= \frac{1}{( \frac{1}{32} ) ^{\frac{2}{5}}}

(\frac{1}{32})^{\frac{2}{5}} = \frac{1}{4}

= \frac{1}{\frac{1}{4}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{4}{1}

Apply rule

\frac{a}{1} = a

= 4

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Frequently Asked Questions (FAQ)

What is (-1/32)^{-2/5} ?
The solution to (-1/32)^{-2/5} is 4