Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter R - Review of Basic Concepts - R.7 Radical Expressions - R.7 Exercises: 17

Answer

$\color{blue}{\text{not a real number}}$

Work Step by Step

RECALL: $\sqrt[n]{a} = a^{1/n}$ Use the rule above by to obtain: $\sqrt[4]{-81} = (-81)^{1/4}$ Since there is no real number $a$ such that $a^{4} = -81$, then the given expression is: $\color{blue}{\text{not a real number}}$
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