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Popular >

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

Solution

simplify

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

Solution

\frac{1}{4 x ^{2}}

Solution steps

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

Apply exponent rule:

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

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

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

Simplify

(32 x^{5})^{\frac{2}{5}} : 4 x^{2}

= \frac{1}{4 x ^{2}}

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Frequently Asked Questions (FAQ)

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