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${\left(\sqrt[5]{x}\right)}^{\frac{5}{6}}.\sqrt{x}$

Which of the following expressions is equivalent to the expression above?

A. x^{23/15}

B. ^{12}√x

C. x^{2/3}

D. x^{31/60}

**Comments**

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${\left(\sqrt[5]{x}\right)}^{\frac{5}{6}}.\sqrt{x}$

= ${\left(x\right)}^{\frac{5}{6}x\frac{1}{5}}.{x}^{\frac{1}{2}}$

= x^{1/6} . x^{1/2}

= x^{1/6 + 1/2}

= x^{2/3}

**Answer: C**

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