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If we were to try and evaluate powers of complex numbers in their cartesian form, that is...
We would have to use binomial expansion, which goes something like this...
This binomial expansion, depend on how large n is, can get quite tedious and error prone. So is there an easier, more efficient way we can find powers of complex numbers?
Yes, there is! By using the polar form, which we can easily convert back to cartesian form.
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