解如下图所示
如图
(5x^-2/3)*y^1/2/{[(-1/4)x^-1y^1/2](-5/6)x^1/3y^-1/6}=5*(-4)*(-6/5)x^(-2/3+1-1/3)y^(1/2-1/2+1/6)=24x^0y^1/6=24y^1/6