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

$(7xy)^{1/2}$
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} \sqrt{7xy} \\\\= \sqrt[2]{7xy} \\\\= (7xy)^{1/2} .\end{array}