## Elementary Algebra

Published by Cengage Learning

# Chapter 5 - Exponents and Polynomials - Chapter 5 Review Problem Set: 68

#### Answer

$\dfrac{b^{6}}{a^{4}}$

#### Work Step by Step

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

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