# i exponents of non integers

I'm not very good at math, but always had a creative interest. Especially when it came to imaginary numbers. The question that occurred to me is How do you graph Y=i multiplied by itself to the power of a non-whole number (I think the word is "non-integer?")? Would that be an indefinite "tube," for lack of better verbage, between -1 and 1? Tangenting off the "tube" remark, would it affect the Z or other different axis? I didn't make it past precalculus, and I'm not in school. Just a random curiosity, and I'm not sure if it has any real application. Thank you in advance for any time and attention you spend replying.

Trying :

may enlighten you.