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 12 - Exponential Functions and Logarithmic Functions - 12.1 Composite Functions and Inverse Functions - 12.1 Exercise Set - Page 788: 78

Answer

$2ab^{4}\cdot\sqrt[3]{5a^{2}}$

Work Step by Step

Apply the rules: $x^{m+n}=x^{m}x^{n}$ and $(x^{m})^{n}=x^{mn}$ $=\sqrt[3]{8\cdot 5\cdot a^{3}\cdot a^{2}\cdot(b^{4})^{3}}$ $=\sqrt[3]{2^{3}\cdot a^{3}\cdot(b^{4})^{3}\cdot 5\cdot a^{2}}$ $=\sqrt[3]{2^{3}\cdot a^{3}\cdot(b^{4})^{3}}\cdot\sqrt[3]{5\cdot a^{2}}$ $=2ab^{4}\cdot\sqrt[3]{5a^{2}}$
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.