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Quandaries & Queries
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 Topic: complex exponent
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 I started with Euler's identity and manipulated it 2011-11-14 From anonymous:I started with Euler's identity and manipulated it e^i*pi=-1 e^-i*pi=(-1)^-1 e^-i*pi=-1 e^-i*i*pi=(-1)^i e^--pi=(-1)^i e^pi=(-1)^i type it in in a calculator and you get e^pi=23.1406926... and (-1)^i=0.0432139183... What did I do wrong?Answered by Robert Dawson. How do you raise a number to an imaginary/complex power? 1996-07-03 From Andy Golden:How do you raise a number to an imaginary/complex power? I know how you raise "e" to a complex power, like e^(pi*i): cos pi + i * sin pi But what about numbers other than "e"? What if I want to raise 5 to the 2i power? How is that done?Answered by Chris Fisher.

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