What is 1/(\sqrt[5]{x^2)} ?

The solution to 1/(\sqrt[5]{x^2)} is (x^{3/5})/x

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simplify 1/(\sqrt[5]{x^2)}

simplify

\frac{x ^{\frac{3}{5}}}{x}

Solution steps

Multiply by the conjugate

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

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

= \frac{( x ^{2} ) ^{\frac{4}{5}}}{x ^{2}}

Simplify

(x^{2})^{\frac{4}{5}} : x^{\frac{8}{5}}

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

Cancel

\frac{x ^{\frac{8}{5}}}{x ^{2}} : \frac{x ^{\frac{3}{5}}}{x}

= \frac{x ^{\frac{3}{5}}}{x}

3.5 \cdot 1 0^{5}

4^{- 1} - 3^{- 1}

- 10 - 20

\frac{2160}{10}

(- 10) (11)