Question
${\left( {\frac{{ - 1 + i\sqrt 3 }}{2}} \right)^{20}} + {\left( {\frac{{ - 1 - i\sqrt 3 }}{2}} \right)^{20}} = $
$\therefore \,\,\,{(\omega )^{20}} + {({\omega ^2})^{20}} = {\omega ^{18}}.{\omega ^2} + {\omega ^{39}}.\omega = {\omega ^2} + \omega = - 1$
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