600 followers problem

Algebra Level 2

Evaluate

(1+i)85(1i)83\large{ \frac { { (1+i) }^{ 85 } }{ { (1-i) }^{ 83 } }}

Hint: There's an extremely fast way to solve this if you know why
1+i=2eiπ/4\large 1+i = \sqrt{2}e^{i{\pi}/{4}}

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