Answer
$(\sqrt {-2})^6=-8$
Work Step by Step
Use: $i^2=-1$ and $\sqrt {-1}=i$
$(\sqrt {-2})^6=(\sqrt 2\sqrt {-1})^6=(\sqrt 2i)^6=(\sqrt 2)^6i^6=8(i^2)^3=8(-1)^3=-8$
Algebra and Trigonometry 10th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
9781337271172
ISBN 13:
978-1-33727-117-2
Chapter 1 - 1.5 - Complex Numbers - 1.5 Exercises - Page 120: 82
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