Given that $x - \frac{1}{x} = i \sqrt{2},$ find $x^{2187} - \frac{1}{x^{2187}}.$
Question:
Given that $x - \frac{1}{x} = i \sqrt{2},$ find $x^{2187} - \frac{1}{x^{2187}}.$
Answer:
Let's think step by step.

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i \sqrt{2}
Given that $x - \frac{1}{x} = i \sqrt{2},$ find $x^{2187} - \frac{1}{x^{2187}}.$
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