What is x(2x^{-1/3})^4 ?

The solution to x(2x^{-1/3})^4 is (16)/(x^{1/3)}

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simplify x(2x^{-1/3})^4

simplify

x (2 x^{- \frac{1}{3}})^{4}

\frac{16}{x ^{\frac{1}{3}}}

Solution steps

x (2 x^{- \frac{1}{3}})^{4}

Simplify

(2 x^{- \frac{1}{3}})^{4} : \frac{16}{x ^{\frac{4}{3}}}

= x \frac{16}{x ^{\frac{4}{3}}}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{x \cdot 16}{x ^{\frac{4}{3}}}

Simplify

\frac{x}{x ^{\frac{4}{3}}} : \frac{1}{x ^{\frac{1}{3}}}

= \frac{16}{x ^{\frac{1}{3}}}

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