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Popular >

simplify (125n^6)^{-2/3}

Solution

simplify

(125 n^{6})^{- \frac{2}{3}}

Solution

\frac{1}{25 n ^{4}}

Solution steps

(125 n^{6})^{- \frac{2}{3}}

Apply exponent rule:

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

(125 n^{6})^{- \frac{2}{3}} = \frac{1}{( 125 n ^{6} ) ^{\frac{2}{3}}}

= \frac{1}{( 125 n ^{6} ) ^{\frac{2}{3}}}

Simplify

(125 n^{6})^{\frac{2}{3}} : 25 n^{4}

= \frac{1}{25 n ^{4}}

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Frequently Asked Questions (FAQ)

What is (125n^6)^{-2/3} ?
The solution to (125n^6)^{-2/3} is 1/(25n^4)