Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 7 - Review - Page 468: 36

Answer

not a real number

Work Step by Step

$(-\frac{1}{36})^{-\frac{1}{4}}=\frac{1}{(-\frac{1}{36})^{\frac{1}{4}}}=\frac{1}{\sqrt[4] (-\frac{1}{36})}$ We cannot simplify any further, as $\sqrt[4] (-\frac{1}{36})$ is not a real number. We cannot find a number $a$ such that $a^{2}=-\frac{1}{36}$.
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