Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 7 - Section 7.7 - Complex Numbers - Exercise Set: 36

Answer

$35+20i$

Work Step by Step

We can use the distributive property to simplify the given expression. $5i(4-7i)=(5i)(4)+(5i)(-7i)=20i-35i^{2}=20i-(35\times-1)=20i-(-35)=20i+35=35+20i$ We know that $i^{2}=-1$.
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