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.

\(a\) and \(b\) \(b\) only All of these choices None \(c\) only \(a\) and \(c\) \(a\) only \(b\) and \(c\)

Excel in math and science