(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find all the values of (-2+2i)^{1/3}

2. Relevant equations

e^{ib}= cos(b) + i * sin(b)

3. The attempt at a solution

(-2+2i)^{1/3}= (2(-1+i))^{1/3}= 2^{1/3}(√2)^{1/3}(e^{iπ(3/4 + 2m)})^{1/3}= 2^{1/2}(e^{πi})^{1/4 + 2m/3}= ....... Where am I going with this? I don't even know.

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# Find all the values of (-2+2i)^(1/3)

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