Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 10 - Section 10.7 - Complex Numbers - Exercise Set: 55

Answer

$\dfrac{4}{i}=-4i$

Work Step by Step

$\dfrac{4}{i}$ Multiply the numerator and the denominator by the complex conjugate of the denominator: $\dfrac{4}{i}=\dfrac{4}{i}\cdot\dfrac{-i}{-i}=\dfrac{-4i}{-i^{2}}=...$ Substitute $i^{2}$ by $-1$ and simplify: $...=\dfrac{-4i}{-(-1)}=\dfrac{-4i}{1}=-4i$
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