What does it mean to raise a number to sqrt(1), aka "i"?

What does it mean to raise a number to sqrt(1), aka "i"?
why does x^{i} equal e^{iln(x)}? and how do I post those pretty mathematical letters?
Have you studied logarithms?
I know than ln(x) means e^{ln(x)} = x, but don't know how to related x^{i} and e^{iln(x)}
You can derive this from the familiar laws of exponents.
You know that , so you just apply that law in the special case that and , to obtain (recall that ).
The pretty mathematical letters are , by the way.
LaTeX  Wikipedia, the free encyclopedia
Oh, now it just sounds so simple, I don't know why I didn't figure it out! Thx! Also, how do I use this "LaTeX" thingy?
You use the [tex]...[/tex] tags.
For example, if you write
[tex]\displaystyle ax^2 + bx + c = 0 \Rightarrow x = \frac{b \pm \sqrt{b^2  4ac}}{2a}[/tex]
it will render as
Edited to add: You don't really need the \displaystyle bit, it just makes the fraction render more attractively. Without you'd get this:
LaTeX code: [tex]ax^2 + bx + c = 0 \Rightarrow x = \frac{b \pm \sqrt{b^2  4ac}}{2a}[/tex]
Rendered output:
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