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

$\dfrac{x^5}{32}$
In order to simplify the expression, we distribute the -5 into the parenthesis. Using the laws of exponents, the given expression, $\left( \dfrac{2}{x} \right)^{-5} ,$ simplifies to \begin{array}{l}\require{cancel} \left( \dfrac{x}{2} \right)^{5} \\\\= \dfrac{x^5}{2^5} \\\\= \dfrac{x^5}{32} .\end{array}