Step 1:
Write the expression
[tex]\frac{x^{\frac{5}{6}}}{x^{\frac{1}{6}}}[/tex]
Step 2:
Apply the division law of exponent
[tex]M^b\text{ }\div M^h=M^{b-h^{}}[/tex]
Step 3:
[tex]\begin{gathered} x^{\frac{5}{6}}\text{ }\div x^{\frac{1}{6}}=x^{\frac{5}{6}-\frac{1}{6}} \\ \\ =x^{\frac{5-1}{6}} \\ =x^{\frac{4}{6}} \\ =x^{\frac{2}{3}} \\ =\text{ }\sqrt[3]{x^2} \end{gathered}[/tex]
Final answer
