e^(π i) = -1 Paradox

Hi MWizzard :)

You lost me here

23.1406926328 = i√ i5

you wanted

\(\sqrt[i]{-1}=\ {(-1)}^{1/i}\\ Where\; did\; your\; i^5 \;come\; from?\;\;i^5=i \;\;but\;so\;what?\)

I might be missing something ://

sum_(n=0)^99 ((-1)^n (pi*i)^n)/n!)~ -1.0000000000000000000000000000000000000000+0.×10^-40 i

Source: Wolfram/Alpha.

As with melody, I'm not sure where your gettin the exponent 5 from. However, I've checked and double checked the math and looked around for another answer online and you aren't the first to notice this, but yes, you're factually correct according to the internet.