Given that x−1x=i√2, find x2187−1x2187
x - 1/x =i*sqrt(2)
x^2187 - 1 / (x^2187) =
x^(2187+2187) - 1 / (x^2187) - Use substitution
(x^4374 - 1) / (x^2187) =i*sqrt(2)