This document is a set of lecture notes on using DeMoivre's Theorem to find complex numbers raised to a power. It reviews trigonometric form, multiplying and dividing complex numbers, and introduces DeMoivre's Theorem. It provides examples of using the theorem to evaluate complex numbers to various powers. It also discusses finding nth roots of numbers and provides examples of solving nth root equations. The document concludes with assigning practice problems from the textbook.

1. February 17, 2012
6.5 Notes: Part 2
DeMoivre's Theorem and
Nth Roots
Objective: Use DeMoivre's Theorem to
find complex numbers raised to a power.
Standard: Math Analysis 2.0
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Review:
Trig form:
Multiplying Complex Numbers in Trig
form:
Dividing Complex Numbers in Trig form:
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DeMoirve's Theorem
n
﴾a+bi﴿ =
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Ex. 1﴿ Evaluate ﴾1 + i﴿
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Ex. 2﴿ Find ﴾3 ­ 2i﴿ 8
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Ex. 4﴿ Find
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Nth Roots
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Solve x +1=0
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Nth Roots Theorem
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Ex. 5﴿ Find the fourth root of 625i.
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Ex. 6﴿
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Ex. 7﴿
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Assignment:
6.5B p. 479 #71­103
﴾odd﴿
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