What is (\sqrt[4]{64x^{-1/3}})^{2/5} ?

The solution to (\sqrt[4]{64x^{-1/3}})^{2/5} is (2^{3/5})/(x^{1/30)}

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simplify (\sqrt[4]{64x^{-1/3}})^{2/5}

simplify

\frac{2 ^{\frac{3}{5}}}{x ^{\frac{1}{30}}}

Solution steps

Simplify

= (\frac{2 ^{\frac{3}{2}}}{x ^{\frac{1}{12}}})^{\frac{2}{5}}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( 2 ^{\frac{3}{2}} ) ^{\frac{2}{5}}}{( x ^{\frac{1}{12}} ) ^{\frac{2}{5}}}

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

= \frac{2 ^{\frac{3}{5}}}{( x ^{\frac{1}{12}} ) ^{\frac{2}{5}}}

Simplify

(x^{\frac{1}{12}})^{\frac{2}{5}} : x^{\frac{1}{30}}

= \frac{2 ^{\frac{3}{5}}}{x ^{\frac{1}{30}}}

(- x^{3}) (- x^{3}) (- x^{3}) (- x^{3})

- 2 e^{- 5}

x + 2 y \cdot x - 2 y

1 6^{x}

What is (\sqrt[4]{64x^{-1/3}})^{2/5} ?
The solution to (\sqrt[4]{64x^{-1/3}})^{2/5} is (2^{3/5})/(x^{1/30)}