Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 10 - Exponents and Radicals - 10.1 Radical Expressions and Functions - 10.1 Exercise Set - Page 635: 113

Answer

The answer is below.

Work Step by Step

Since a number raised to an odd power can be positive or negative, we know the following: If the number is positive, $n$ can be any value, for any root of a positive number is a real number. If the number is negative, then $n$ must be odd, for the even root of a negative number does not exist.
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