Powers of Complex Numbers (and an intro to "Table" on Mathematica). Also use ComplexExpand.

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Dynamic Behavior of Powers of Complex Numbers, Intro to Roots and Multi-Valued Functions Dynamic Behavior of Powers of Complex Numbers, Intro to Roots and Multi-Valued Functions
Complex Number Complex Number
Complex Number (i to the power of an integer) Complex Number (i to the power of an integer)
More on Visualizing Complex Roots with Mathematica More on Visualizing Complex Roots with Mathematica
Complex Multiplication in terms of Moduli and Arguments. Use Mathematica to illustrate. Complex Multiplication in terms of Moduli and Arguments. Use Mathematica to illustrate.
Complex Number Addition and the Parallelogram Law. Use of Mathematica to create vectors. Complex Number Addition and the Parallelogram Law. Use of Mathematica to create vectors.
The complex number system The complex number system
roots and powers of complex numbers roots and powers of complex numbers