Answer: [tex]\bold{x^{\frac{1}{3}}y^{\frac{1}{2}}}[/tex]
Step-by-step explanation:
[tex]\sqrt[6]{x^2y^3} =x^{\frac{2}{6}}y^{\frac{3}{6}}=x^{\frac{1}{3}}y^{\frac{1}{2}}[/tex]