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Zolar V

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I'm trying to understand what it means to take a number \(n \) to the power of \( i \).

\[ F(x) = x^i     = x^{\sqrt{-1}} \]


I'm trying to understand visually what taking a number to a squareroot really does to it. Examine the behavior.   I want to be able to understand it visually as well as numerically.

I suppose it would be useful to also understand what a number \( n \) to a root \( \sqrt{a} \)  also means.

\[ G(y) = n ^ { \sqrt{y}}  ,  y \in \mathbb{Z}  \] 


Edited by Zolar V
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