Posted by **Sébastien** on Tuesday, January 24, 2012 at 12:44pm.

Hi i need help for calcul with a Moivre's theorem:

( 1/2 ( -1 - i√3 )) ^3

thanks for your help

- calculus -
**Steve**, Tuesday, January 24, 2012 at 1:19pm
convert (x,y) to (r,θ)

1/2 ( -1 - i√3 ) = (1,4π/3)

(re^{iθ})^{n} = r^{n}e^{inθ}

(1,4π/3)^{3} = (1^{3},4π) = (1,4π)

in (x,y) that's (1,0)

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