How do I use DeMoivre's theorem to find #(-3+3i)^3#?

1 Answer
Gió
Nov 3, 2015

I found: #z^3=54+54i#

Explanation:

You first need to change your complex number into trigonometric form:
#z=rho[cos(theta)+isin(theta)]#
and then apply deMoivre's Theorem to get:
#z^n=rho^n[cos(ntheta)+isin(ntheta)]#
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