( 1/2 ( -1 + i^3 )) ^2 Thanks for your help.
= (1/2) (1 - 2i^3 + i^6) now: i^2 = -1 i^3 = i i^2 = -i i^6 = (i^3)^2 = i^2 = -1 so back... = (1/2) (1 - 2(-i) + (-1) ) = (1/2) (2i) = i
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