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

$\dfrac{5\sqrt[5]{y^4}z}{\sqrt[3]{x^2}}$
Using the laws of exponents, the given expression, $5x^{-2/3}y^{4/5}z ,$ is equivalent to \begin{array}{l}\require{cancel} \dfrac{5y^{4/5}z}{x^{2/3}} .\end{array} Using $a^{m/n}=\sqrt[n]{a^m}=(\sqrt[n]{a})^m$, the expression, $\dfrac{5y^{4/5}z}{x^{2/3}} ,$ simplifies to \begin{array}{l}\require{cancel} \dfrac{5\sqrt[5]{y^4}z}{\sqrt[3]{x^2}} .\end{array}