I have a few questions about i that I should have asked long ago. This post was originally in my Techniques for Integration thread, but since it was a more general question I thought I would just start a new thread to ask it. This is what I posted:

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Ok, I have a stupid question, but here goes.

(0 - 1)<sup>4/5</sup>

Does this equal 1 or a version of i? It must be a version of i since if I had (-1)<sup>1/2</sup>, which I know should be i, I could turn that into (-1)<sup>2/4</sup>, square the -1 to make 1, and then take the fourth root of 1 to get 1. There must be a rule that says when considering exponents, you must divide first.

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Also, how would you write something like (-1)<sup>1/9</sup> in terms of i?