Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 6 Rational Exponents and Radical Functions - Evaluate nth Roots and Use Rational Exponents - 6.1 Exercises - Skill Practice - Page 417: 2


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Work Step by Step

Consider a negative number $s$. $s^4$ is positive but $s^5$ is negative. Also, consider a number $r$ which is positive. Both $r^4$ and $r^5$ are positive. Thus the sign of $a$ is important as a fourth root will have multiple roots or no roots, and the fifth root will have 1 either way, whether it be positive or negative.
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