Question

Compute the indicated power by using DeMoivre’s theorem:

Please provide your answer in radians, use π where appropriate.
___, k={__,___,___}

Answer 1

`i=e^(i\pi/2)`

and by DeMoivre's theorem,

`i^(1/3)=e^(i(\pi/2+2k\pi)/3)=e^(i(\pi/6+2k\pi/3))`

for
`k=0,1,2`