Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.8 - Inequalities - 1.8 Exercises - Page 91: 126

Answer

For any $a^n$ and $b^n$, when $a0$ and $b>0$ $a^n>b^n$ when $n$ is even; $a<0$ and $b<0$

Work Step by Step

Let's consider several cases. At first "critical" points like $-1; 0; 1$, then number between $0$ and $1$ and some random numbers. $a=-1$ ; $b=1$ || $a0$ and $b>0$ $a^n>b^n$ when $n$ is even; $a<0$ and $b<0$
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.