To find the radical form of the expression we can use the next formula:
[tex]a^{\frac{b}{c}}=\sqrt[c]{a^b}[/tex]
By replacing the known values we obtain:
[tex]\begin{gathered} 5^{\frac{2}{3}}=\sqrt[3]{5^2} \\ 5^{\frac{1}{2}}=\sqrt[2]{5^1}=\sqrt[]{5^{}} \\ 3^{\frac{2}{5}}=\sqrt[5]{3^2} \\ 3^{\frac{5}{2}}=\sqrt[2]{3^5}=\sqrt[]{3^5} \end{gathered}[/tex]
