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

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

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simplify \sqrt[4]{(x^2)/(x^{2/3)}}

simplify

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

Solution steps

Cancel

\frac{x ^{2}}{x ^{\frac{2}{3}}} : x^{\frac{4}{3}}

Apply radical rule:

assuming

a \geq 0

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

\frac{\frac{4}{3}}{4} = \frac{1}{3}

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

\frac{x + 2}{x - 4} + \frac{2}{x} + \frac{5 x}{3 x - 1}

\frac{x ^{2} + x}{x}

lo g_{x} (4)

\frac{22}{8}

\frac{22}{9}

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