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Popular >

simplify 1/(\sqrt[5]{8)}

Solution

simplify

Solution

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

+1

Decimal Notation

0.65975 \dots

Solution steps

Multiply by the conjugate

\frac{8 ^{\frac{4}{5}}}{8 ^{\frac{4}{5}}}

1 \cdot 8^{\frac{4}{5}} = 8^{\frac{4}{5}}

= \frac{8 ^{\frac{4}{5}}}{8}

Factor

8^{\frac{4}{5}} : 2^{\frac{12}{5}}

Factor

8 : 2^{3}

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

Cancel

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

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

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Frequently Asked Questions (FAQ)

What is 1/(\sqrt[5]{8)} ?
The solution to 1/(\sqrt[5]{8)} is (2^{2/5})/2