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

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

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

Answer

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

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}
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.