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All the values of the multi-valued complex function 1ⁱ, where i = √−1, are

1. purely imaginary.
2. real and non-negative.
3. on the unit circle.
4. equal in real and imaginary parts.

Correct answer: real and non-negative.

Solution

Writing 1 = e^(i 2 pi k), 1^i = e^(i * i 2 pi k) = e^(-2 pi k) for integer k. These are all positive real numbers, so the values are real and non-negative; only the k=0 value lies on the unit circle, so 'on the unit circle' is not correct.

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