College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 1, Equations and Graphs - Section 1.5 - Complex Numbers - 1.5 Exercises: 42

Answer

$\frac{2}{13}+\frac{3}{13}i$

Work Step by Step

$(2-3i)^{-1}=\displaystyle \frac{1}{2-3i}=\frac{1}{2-3i}*\frac{2+3i}{2+3i}=\frac{2+3i}{4-9i^{2}}=\frac{2+3i}{4-9*-1}=\frac{2+3i}{4+9}=\frac{2+3i}{13}=\frac{2}{13}+\frac{3}{13}i$
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