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

$\dfrac{3x}{y^2z}$
Using the properties of radicals, the given expression, $\sqrt[4]{\dfrac{81x^4}{y^8z^4}} ,$ simplifies to \begin{array}{l}\require{cancel} \dfrac{\sqrt[4]{81x^4}}{\sqrt[4]{y^8z^4}} \\\\= \dfrac{\sqrt[4]{(3x)^4}}{\sqrt[4]{(y^2z)^4}} \\\\= \dfrac{3x}{y^2z} \end{array} * Note that it is assumed that all variables represent positive numbers.