Solve a^2/sqrt{asqrt[3]{a^2}}

$$\frac{ { a }^{ 2 } }{ \sqrt{ a } \sqrt[ 3 ]{ { a }^{ 2 } } }$$

Evaluate

$$a^{\frac{5}{6}}$$

Short Solution Steps

Factor the expressions that are not already factored.

$$\frac{a^{2}}{\sqrt{a}\sqrt[3]{a^{2}}}$$

Cancel out \sqrt{a} in both numerator and denominator.

$$\frac{a^{\frac{3}{2}}}{\sqrt[3]{a^{2}}}$$

Expand the expression.

$$\frac{a^{\frac{3}{2}}}{a^{\frac{2}{3}}}$$

Cancel out a^{\frac{2}{3}} in both numerator and denominator.

$$a^{\frac{5}{6}}$$

Differentiate w.r.t. a

$$\frac{5}{6\sqrt[6]{a}}$$