Rút gọn biểu thức A = sqrt3fracxy2sqrt5left( fracyx right)3.

$A = \sqrt[3]{{\frac{x}{{{y^2}}}\sqrt[5]{{{{\left( {\frac{y}{x}} \right)}^3}}}}} = {\left( {{{\left( {\frac{y}{x}} \right)}^{\frac{3}{5}}}.\frac{x}{{{y^2}}}} \right)^{\frac{1}{3}}} = {\left( {\frac{{{y^{\frac{3}{5}}}.x}}{{{x^{\frac{3}{5}}}.{y^2}}}} \right)^{\frac{1}{3}}} = {\left( {\frac{{{x^{\frac{2}{5}}}}}{{{y^{\frac{7}{5}}}}}} \right)^{\frac{1}{3}}} = \sqrt[{15}]{{\frac{{{x^2}}}{{{y^7}}}}}.$