Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Appendix A - Review - A.1 Algebra Essentials - A.1 Assess Your Understanding - Page A12: 97

Answer

$64 x^{6}$.

Work Step by Step

The given expression is $=(8x^3)^2$ Use the law of exponents $(ab)^m=a^m\cdot b^m$ We have $a=8,b=x^3$ and $m=2$ $=(8)^2\cdot (x^3)^2$ Use the law of exponents $(a^m)^n=a^{m\cdot n}$ $=8^2\cdot x^{3\cdot 2}$ Use $8^2=64$. $=64 x^{6}$.
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.