What is 1/(\sqrt[5]{27)} ?

The solution to 1/(\sqrt[5]{27)} is (3^{2/5})/3

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simplify 1/(\sqrt[5]{27)}

simplify

\frac{3 ^{\frac{2}{5}}}{3}

Decimal Notation

0.51728 \dots

Solution steps

Multiply by the conjugate

\frac{2 7 ^{\frac{4}{5}}}{2 7 ^{\frac{4}{5}}}

1 \cdot 2 7^{\frac{4}{5}} = 2 7^{\frac{4}{5}}

= \frac{2 7 ^{\frac{4}{5}}}{27}

Factor

2 7^{\frac{4}{5}} : 3^{\frac{12}{5}}

Factor

27 : 3^{3}

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

Cancel

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

= \frac{3 ^{\frac{2}{5}}}{3}

(- 4 x^{2} + 6 x + 1) + (5 x + 7)

(- z)^{3} (3 z^{4})

- 3 (7 f + 3 f + 9) - 4 f

\frac{3 x - 9}{x ^{2} - 6 x + 9}

\frac{3 - 2.5}{3 + 1 \frac{1}{3}}