Simplify: (x8y123)1/2x⋅y3\frac{(\sqrt[3]{x^8 y^{12}})^{1/2}}{\sqrt{x \cdot y^3}}x⋅y3(3x8y12)1/2 for x,y>0x, y > 0x,y>0.
x5/6y1/2x^{5/6} y^{1/2}x5/6y1/2
xy1/2x y^{1/2}xy1/2
x1/2yx^{1/2} yx1/2y
x5/6yx^{5/6} yx5/6y