Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 10 - Review - Page 746: 27



Work Step by Step

Step 1: We need to transform 81 into a number of power 4 so that exponential powers can cancel each other out Step 2: We find that $81=3^{4}$ Step 3: Therefore, we can write $(\frac{1}{81})^{\frac{1}{4}}$ as $(\frac{1}{3^{4}})^{\frac{1}{4}}$ Step 4: $(\frac{1}{3^{4}})^{\frac{1}{4}}$= $\frac{1^{\frac{1}{4}}}{3^{4\times\frac{1}{4}}}$ Step 5: $1^{\frac{1}{4}}$=$ 1$ and ${3^{4\times\frac{1}{4}}}$=$3$ as both 4s cancel each other out Step 6: Therefore, what remains is $\frac{1}{3}$
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.