Answer
$\frac{1}{8}x^{-\frac{3}{2}}-\frac{2}{3}x^{-\frac{3}{5}}$
Work Step by Step
$\frac{1}{8x\sqrt x}-\frac{2}{3\sqrt[5] x^{3}}=\frac{1}{8xx^{\frac{1}{2}}}-\frac{2}{3x^{\frac{3}{5}}}=\frac{1}{8x^{1+\frac{1}{2}}}-\frac{2}{3x^{\frac{3}{5}}}=\frac{1}{8x^{\frac{3}{2}}}-\frac{2}{3x^{\frac{3}{5}}}=\frac{1}{8}x^{-\frac{3}{2}}-\frac{2}{3}x^{-\frac{3}{5}}$