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Powers and Roots of Complex Numbers

A series of free Trigonometry Lessons. How to find the Powers and Roots of Complex Numbers?

Using DeMoivre's Theorem to Raise a Complex Number to a Power
Raising complex numbers, written in polar (trigonometric) form, to positive integer exponents using DeMoivre's Theorem. Then finding roots of complex numbers written in polar form.
Roots of Complex Numbers, Ex 1
Finding roots of complex numbers. This video gives the formula to find the n-th root of a complex number and use it to find the square roots of a number.

Roots of Complex Numbers, Ex 2
Roots of Complex Numbers, Ex 3

Roots of Unity, Example 1
This video discusses how to find roots of unity and the unit circle
Roots of Unity, Example 2
Question about finding the quadrant in which the roots belong.

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You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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