Answer
$(5ab)^{4/3}$
Work Step by Step
Using the definition of rational exponents which is given by $a^{\frac{m}{n}}=\sqrt[n]{a^m}=\left(\sqrt[n]{a}\right)^m,$ the given expression is equivalent to
\begin{array}{l}\require{cancel}
\left(\sqrt[3]{5ab}\right)^4
\\\\=
(5ab)^{4/3}
.\end{array}