GATE Electrical 2012 | Question: 2

Question

If $x=\sqrt{-1}$, then the value of $x^x$ is

• A. $e^{- \pi/2}$
• B. $e^{\pi/2}$
• C. $x$
• D. $1$

Answer 1

i=e^(iπ/2)

then i^i=e^{(iπ/2)*i}

i^i=e^(-π/2)

therfore A option