Answer
$\frac{3}{5}x^{-\frac{1}{2}}-\frac{5}{8}x^{\frac{1}{2}}+\frac{7}{2}x^{-\frac{1}{3}}$
Work Step by Step
$\frac{3}{5\sqrt x}-\frac{5\sqrt x}{8}+\frac{7}{2\sqrt[3] x}=\frac{3}{5x^{\frac{1}{2}}}-\frac{5x^{\frac{1}{2}}}{8}+\frac{7}{2x^{\frac{1}{3}}}=\frac{3}{5}\times\frac{1}{x^{\frac{1}{2}}}-\frac{5}{8}x^{\frac{1}{2}}+\frac{7}{2}\times\frac{1}{x^{\frac{1}{3}}}=\frac{3}{5}x^{-\frac{1}{2}}-\frac{5}{8}x^{\frac{1}{2}}+\frac{7}{2}x^{-\frac{1}{3}}$