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How can De Moivre's theorem be described? De Moivre’s theorem is an easy way to calculate compound numbers that are only in polar form. The book says, “for a positive integer n, zn is found by raising the modulus to the nth power and multiplying the argument by n.” (Abramson, 2017) So we can say if: z = r(cosθ + i snθ) is a complex number, then, zn = rn [cos(nθ) + i sin(nθ)] and, z n = rncis(nθ) So long as n is a positive number What is the scope of this theorem? De Moivre’s theorem applies when finding the roots and powers of complex numbers that are in polar form. If they are not in polar form, it does not work. I will say, I did really try to figure out how to do these equations, to make up examples but they have really just jumbled my brain today/this week. I decided some type of answer is better than none though. Good luck everyone on the final next week! References

Abramson, J. P. (2017). Algebra and trigonometry. Houston, TX: OpenStax....