[tex]m^{\frac{1}{15}}[/tex]
Explanation
let's remember some properties of the exponents numbers
[tex]\begin{gathered} a^{\frac{1}{m}}=\sqrt[m]{a} \\ (a^m)^n=a^{m*n} \end{gathered}[/tex]
so
Step 1
[tex](m^{\frac{1}{3}})^{\frac{1}{5}}[/tex]
apply the properties to solve:
[tex]\begin{gathered} (m^{\frac{1}{3}})^{\frac{1}{5}}=m^{\frac{1}{3}*\frac{1}{5}} \\ (m^{\frac{1}{3}})^{\frac{1}{5}}=m^{\frac{1}{15}} \end{gathered}[/tex]
so, the answer is
[tex]m^{\frac{1}{15}}[/tex]
I hope this helps you
