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

$5^{15/28}$
Using the laws of exponents, the given expression, $\left( 5^{5/4} \right)^{3/7} ,$ simplifies to \begin{array}{l}\require{cancel} 5^{\left( \frac{5}{4} \right) \left( \frac{3}{7} \right)} \\\\= 5^{\frac{15}{28}} \\\\= 5^{15/28} .\end{array}