What is expand x^{1/3}(x^{1/2}+2x^2) ?

The solution to expand x^{1/3}(x^{1/2}+2x^2) is x^{5/6}+2x^{7/3}

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expand x^{1/3}(x^{1/2}+2x^2)

expand

x^{\frac{1}{3}} (x^{\frac{1}{2}} + 2 x^{2})

x^{\frac{5}{6}} + 2 x^{\frac{7}{3}}

Solution steps

x^{\frac{1}{3}} (x^{\frac{1}{2}} + 2 x^{2})

Apply the distributive law:

a (b + c) = ab + a c

x^{\frac{1}{3}} (x^{\frac{1}{2}} + 2 x^{2}) = x^{\frac{1}{3}} x^{\frac{1}{2}} + x^{\frac{1}{3}} \cdot 2 x^{2}

= x^{\frac{1}{3}} x^{\frac{1}{2}} + x^{\frac{1}{3}} \cdot 2 x^{2}

x^{\frac{1}{3}} x^{\frac{1}{2}} = x^{\frac{5}{6}}

x^{\frac{1}{3}} \cdot 2 x^{2} = 2 x^{\frac{7}{3}}

= x^{\frac{5}{6}} + 2 x^{\frac{7}{3}}

(\frac{1}{5} a^{2 k})^{6} \cdot (125 a^{2})^{2}

(x + y - z) (x + y + z)

\frac{tan ( x )}{cos ( x )}

\frac{2}{3} + \frac{5}{3} - \frac{1}{6}

\frac{2}{2 x + 1} + \frac{1}{x + 2}

What is expand x^{1/3}(x^{1/2}+2x^2) ?
The solution to expand x^{1/3}(x^{1/2}+2x^2) is x^{5/6}+2x^{7/3}