Playing with ee and π\pi

Algebra Level 4

1π=?\large\sqrt[\pi]{-1} = ?

Which of the following values is/are possible values of the expression above?

Options:

\quad A.   iπ2\ \ \large \sqrt[\frac{\pi}{2}]{i}

\quad B.   ei\ \ \large e^i

\quad C.   eiπ\ \ -e^{i\pi}

\quad D.   πei\ \ \pi^{ei}

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