Answer
$\dfrac{1}{i}=-i$
Work Step by Step
$\dfrac{1}{i}$
Multiply the fraction by $\dfrac{-i}{-i}$:
$\Big(\dfrac{1}{i}\Big)\Big(\dfrac{-i}{-i}\Big)=\dfrac{-i}{-i^{2}}$
We know that $i^{2}=-1$, so we get:
$\dfrac{-i}{-(-1)}=\dfrac{-i}{1}=-i$
Precalculus: Mathematics for Calculus, 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305071751
ISBN 13:
978-1-30507-175-9
Chapter 1 - Section 1.6 - Complex Numbers - 1.6 Exercises - Page 64: 37
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