Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 5 - Exponents and Polynomials - 5.6 - Integral Exponents and Scientific Notation - Problem Set 5.6 - Page 224: 83



Work Step by Step

Using the laws of exponents, the given expression, $ \left( \dfrac{18x^{-1}}{9x^{}} \right)^{-2} ,$ simplifies to \begin{array}{l}\require{cancel} \left( (18\div9)x^{-1-1} \right)^{-2} \\\\= \left( 2x^{-2} \right)^{-2} \\\\= 2^{-2}x^{-2(-2)} \\\\= 2^{-2}x^{4} \\\\= \dfrac{x^{4}}{2^2} \\\\= \dfrac{x^{4}}{4} .\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.