# 600 followers problem

**Algebra**Level 2

Evaluate

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

**Hint**: There's an extremely fast way to solve this if you know why

\(\large 1+i = \sqrt{2}e^{i{\pi}/{4}} \)

Evaluate

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

**Hint**: There's an extremely fast way to solve this if you know why

\(\large 1+i = \sqrt{2}e^{i{\pi}/{4}} \)

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