Harvard Entrance Exam Question | How to Solve?

[@justinmcmillan1462]

You can further simplify by bringing the 3/2 exponent down, which becomes exp(i*3pi/2) which is -1i

[@SALogics]

Very Nice! ❤

[@dougnettleton5326]

Yeah, I'm not really sure that's simpler, but it does give an intuitive sense of the value.
The derivation seemed awfully cumbersome to someone familiar with the Euler identity and the Euler equation.

[@SALogics]

Thanks for your feedback! ❤

[@zawatsky]

Можно попробовать представить число в виде типичной экспоненциальной матрёшки - √π^√π/[-√π^(√π)]=(√π^√π)*[-√π^(-√π)]. Но что дальше - я не знаю.🙄

[@SALogics]

Очень хорошо! ❤

[@comdo777]

answer=-2 isit