#### Answer

Fill the blank with $w^{\frac{1}{6}}$.

#### Work Step by Step

With substitution $u=w^{\frac{1}{6}}$, then $u^{2}=w^{\frac{1}{3}}.$
The equation becomes
$u^{2}-3u+8=0$

Chegg costs money, GradeSaver solutions are free!

Published by
Pearson

ISBN 10:
0-32184-874-8

ISBN 13:
978-0-32184-874-1

Fill the blank with $w^{\frac{1}{6}}$.

You can help us out by revising, improving and updating this answer.

Update this answerAfter 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.