Find the truth gets simpler and complex

Algebra Level 4

Which of the following are always true?

a) \(i^x \) is imaginary if \(x\) is imaginary.
b) \(x^i \) is imaginary if \(x\) is imaginary.
c) \(x^x \) is imaginary if \(x\) is imaginary.

This is a part of set Find the Truth.
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