Question

did i get my z points correctly for this?

Answer 1

\[(1-i)^{\frac{ 1 }{ 3 }}\]\[=(\sqrt{2})^{1/3}e ^{i (\ -pi/12)+i(2k \pi)}\]
\[=2^{1/6}e ^{-i \pi/12},2^{1/6}e ^{7 \pi/12},2^{1/6}e ^{5 \pi/4}\]

Answer 2

sry should be 2/3 k pi for the 2nd line

Answer 3

\[(1-i)^{\frac{ 1 }{ 3 }}\]\[=(\sqrt{2})^{1/3}e ^{i (\ -pi/12)+i(2k \pi/3)}\]
\[=2^{1/6}e ^{-i \pi/12},2^{1/6}e ^{7 \pi/12},2^{1/6}e ^{5 \pi/4}\]