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 - 10.3 Multiplying Radical Expressions - 10.3 Exercise Set - Page 647: 38

Answer

$3b^2\sqrt[3]{a}$

Work Step by Step

Using the properties of radicals, the given expression, $ \sqrt[3]{27ab^6} ,$ simplifies to \begin{array}{l}\require{cancel} \sqrt[3]{27b^6\cdot a} \\\\= \sqrt[3]{(3b^2)^3\cdot a} \\\\= 3b^2\sqrt[3]{a} \end{array} * Note that it is assumed that no radicands were formed by raising negative numbers to even powers.
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.