Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 1-8 - Cumulative Review: 102

Answer

$\frac{3}{7}-\frac{2}{7}i$

Work Step by Step

Step 1: $\frac{2+3i}{7i}$ Step 2: $\frac{2+3i}{7i}\times\frac{i}{i}$ Step 3: $\frac{i(2+3i)}{7i^{2}}$ Step 4: As $i^{2}=-1$, we get $\frac{2i+3(-1)}{7(-1)}$. Step 5: $\frac{2i-3}{-7}$ Step 6: $\frac{2i}{-7}+\frac{(-3)}{(-7)}$ Step 7: $\frac{-2i}{7}+\frac{3}{7}$ Step 8: $\frac{3}{7}-\frac{2}{7}i$
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