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Evaluate i⁵⁷ + 1/(i¹²⁵), where i = sqrt(-1).

1. 0
2. -2i
3. 2i
4. 2

Correct answer: 0

Solution

i⁵⁷ = i and 1/i¹²⁵ = 1/i = -i, so the sum is i + (-i) = 0.

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