## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

$\sqrt[5]{3a^4}$
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} (3a^4)^{1/5} \\\\= \sqrt[5]{3a^4} .\end{array}