Question is to convert this into polar form $\displaystyle z = (1 + \sqrt 3 i)^5 $ Is what I have below correct? $\displaystyle = 2^5 (\cos (\frac{\pi }{3}) + i\sin (\frac{\pi }{3})) $
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Don't forget to multiply the argument by 5 as well, thus getting $\displaystyle {5\pi\over 3}$. And I would rather expect a notation with an exponential, but your teacher may want it written as you did, I don't know.
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