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 10 - Exponents and Radicals - 10.2 Rational Numbers as Exponents - 10.2 Exercise Set - Page 641: 74



Work Step by Step

Using the laws of exponents, the given expression, $ \dfrac{2.7^{-11/12}}{2.7^{-1/6}} ,$ simplifies to \begin{array}{l}\require{cancel} 2.7^{-\frac{11}{12}-\left( -\frac{1}{6} \right)} \\\\= 2.7^{-\frac{11}{12}+\frac{1}{6}} \\\\= 2.7^{-\frac{11}{12}+\frac{2}{12}} \\\\= 2.7^{-\frac{9}{12}} \\\\= 2.7^{-\frac{3}{4}} \\\\= \dfrac{1}{2.7^{\frac{3}{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.