# Chapter 4 - Polynomials - Review Exercises: Chapter 4: 24

$\dfrac{x^{6}}{4y^{2}}$

#### Work Step by Step

Using the laws of exponents, the given expression, $(2x^{-3}y)^{-2} ,$ simplifies to \begin{array}{l}\require{cancel} 2^{-2}x^{-3(-2)}y^{-2} \\\\= 2^{-2}x^{6}y^{-2} \\\\= \dfrac{x^{6}}{2^{2}y^{2}} \\\\= \dfrac{x^{6}}{4y^{2}} .\end{array}

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