Answer:[tex]\sqrt[3]{x}\sqrt[6]{y}[/tex]Step-by-step explanation:The given expression is: [tex]x^{\frac{1}{3}} y^{\frac{1}{6} }[/tex]There is a property that allows to express every radical into a fractional exponent, and vice versa:[tex]\sqrt[n]{x^{m} }=x^{\frac{m}{n}}[/tex]Applying this property, we have:[tex]x^{\frac{1}{3}} y^{\frac{1}{6} }\\\sqrt[3]{x}\sqrt[6]{y}[/tex]Therefore, the new expression is [tex]\sqrt[3]{x}\sqrt[6]{y}[/tex]