# Chapter 5 - Section 5.7 - Negative Exponents and Scientific Notation - Exercise Set: 77

$\dfrac{y^{9}}{x^{6}}$

#### Work Step by Step

Using the laws of exponents, the given expression, $\left( \dfrac{x^2}{y^3} \right)^{-3} ,$ simplifies to \begin{array}{l}\require{cancel} \dfrac{x^{2(-3)}}{y^{3(-3)}} \\\\= \dfrac{x^{-6}}{y^{-9}} \\\\= \dfrac{y^{9}}{x^{6}} .\end{array}

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