Complex Number to a Power Using DeMoiver's Theorem

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Learn how to use DeMoiver's Theorem when working with powers of complex numbers in trigonometric form in this free math video by Mario's Math Tutoring.

0:06 DeMoiver's Theorem for Raising a Complex Number to a Power
0:37 Example 1 (2 + 2i)^6
1:10 Convert Complex Number to Trigonometric Form
1:30 Solving for r
1:43 Solving for the Angle theta
2:18 Using DeMoiver's Theorem
2:44 Converting from Trigonometric Form to Standard Form of a Complex Number
3:41 Summary of How & Why to Use DeMoiver's Theorem

Related Videos:

Finding the nth Root of a Complex Number

How to Write Complex Numbers in Trigonometric Form

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Thank you for being so amazing. You can explain difficult concepts in a very easy way!

elenaerrichiello
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I watch a lot of videos on this topic but they all explain it too hard. But yours I get at the first second. Thank you

boenglover
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the tutoring really worked significantly, thanks

thapelogerry
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man this is short and explains how to do it well. me, my senioritis, and ADHD thank you.

cambot
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can you do it if it was like z^5=-243i i really don’t understand how to do this type of problem

ngndnd
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Wouldn’t it be simpler to use the exponential form ?

loickbf