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: 55

Answer

$-2a^{4}\sqrt[3]{10a^2}$

Work Step by Step

Extracting the factors that are perfect roots of the given index, the given expression, $ \sqrt[3]{-80a^{14}} ,$ simplifies to \begin{array}{l}\require{cancel} \sqrt[3]{-8a^{12}\cdot 10a^2} \\\\= \sqrt[3]{(-2a^{4})^3\cdot 10a^2} \\\\= -2a^{4}\sqrt[3]{10a^2} \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.