This video introduces DeMoivre's Theorem, a useful formula that provides a simple method for raising a complex number to a power in polar form (including proof by induction and exception cases for other input ranges).
Timecodes:
0:00 - Intro and statement
1:32 - Proof by induction
12:31 - Generalization and consequences
Sources and other tidbits:
DeMoivre's theorem: https://artofproblemsolving.com/wiki/index.php/De_Moivre%27s_Theorem
Nth roots of unity: https://en.wikipedia.org/wiki/Root_of_unity
Complex power visualization: https://www.geogebra.org/m/csddrHIa
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