What is 1/(\sqrt[5]{x^3)} ?

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

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simplify 1/(\sqrt[5]{x^3)}

simplify

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

Solution steps

Multiply by the conjugate

\frac{( x ^{3} ) ^{\frac{4}{5}}}{( x ^{3} ) ^{\frac{4}{5}}}

1 \cdot (x^{3})^{\frac{4}{5}} = (x^{3})^{\frac{4}{5}}

= \frac{( x ^{3} ) ^{\frac{4}{5}}}{x ^{3}}

Simplify

(x^{3})^{\frac{4}{5}} : x^{\frac{12}{5}}

= \frac{x ^{\frac{12}{5}}}{x ^{3}}

Cancel

\frac{x ^{\frac{12}{5}}}{x ^{3}} : \frac{x ^{\frac{2}{5}}}{x}

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

\frac{x - 2}{x + 1} + \frac{5 x + 30}{x ^{2} + 7 x + 6}

- 9 + 16

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a + a