## Intermediate Algebra (12th Edition)

$\left( \sqrt[3]{2y+x} \right)^{2}$
$\bf{\text{Solution Outline:}}$ Use the definition of rational exponents to convert the given expression, $(2y+x)^{2/3} ,$ to radical form. $\bf{\text{Solution Details:}}$ 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 expression above is equivalent to \begin{array}{l}\require{cancel} \left( \sqrt[3]{2y+x} \right)^{2} .\end{array}