So many people in the replies here are totally missing the point. Yes, there is an infinite number of valid possible answers for i^i. But EVERY SINGLE ONE OF THEM IS A REAL NUMBER.

So many people in the replies here are totally missing the point. Yes, there is an infinite number of valid possible answers for i^i. But EVERY SINGLE ONE OF THEM IS A REAL NUMBER.

https://x.com/mathladyhazel/status/1800905395961241811

Can any giga brain explain me what the math is? 🥲

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Are you looking for an explanation that shows the algebraic steps to prove it? Or just, the idea in general, without math stuff shown?

In a nutshell:
Cos an imaginary number is a square root of a negative number (something "impossible" to solve).
Exponent is opposite of square root.
So it nullifies the square root of the imaginary number.