​ Roots

Hi lovely

$\sqrt[5]{x}^{\frac{5}{6}}*\sqrt{x}\\ =(x^{\frac{1}{5}})^{\frac{5}{6}}*x^{\frac{1}{2}}\\ =(x^{\frac{1}{5}*\frac{5}{6}})*x^{\frac{1}{2}}\\ =x^{\frac{1}{6}}*x^{\frac{3}{6}}\\ =x^{\frac{4}{6}}\\ =x^{\frac{2}{3}}\\ =\sqrt[3]{x^2}= (\sqrt[3]{x})^2$