Answer
$8i$
Work Step by Step
The given expression is
$=(-64)^{\frac{1}{2}}$
Use $64=-8^2$.
$=(-8^2)^{\frac{1}{2}}$
Use $(-1)^{\frac{1}{2}}=i$.
$=(8^2)^{\frac{1}{2}}i$
Simplify.
$=8i$.
Big Ideas Math - Algebra 1, A Common Core Curriculum
by Larson, Ron; Boswell, Laurie
Published by
Big Ideas Learning LLC
ISBN 10:
978-1-60840-838-2
ISBN 13:
978-1-60840-838-2
Chapter 6 - Exponential Functions and Sequences - 6.2 - Radicals and Rational Exponents - Exercises - Page 303: 18
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