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Question #e43d3

1 Answer

Apr 10, 2017

#i^i = e^( - pi/2)#

Explanation:

Euler's Formula:

#e^(i x) = cos x + i sin x#

#implies i = cos (pi/2) + i sin (pi/2) = e^( i pi/2)#

#i^i = (e^( i pi/2))^i = e^( i cdot i pi/2) = e^( - pi/2)#

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