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Cake day: July 18th, 2020

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  • Therefore i¹⁰ = ln(-1)¹⁰/pi¹⁰ = -1

    This is true but does not follow from the preceding steps, specifically finding it to be equal to -1. You can obviously find it from i²=-1 but they didn’t show that. I think they tried to equivocate this expression with the answer for e^(iπ) which you can’t do, it doesn’t follow because e^(iπ) and i¹⁰ = ln(-1)¹⁰/pi¹⁰ are different expressions and without external proof, could have different values.