Show that if (w) is an (n^{t h}) root of unity, then (bar{w}=frac{1}{w}). Deduce that [ overline{(1-w)}^{n}=(w-1)^{n}
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Show that if \(w\) is an \(n^{t h}\) root of unity, then \(\bar{w}=\frac{1}{w}\). Deduce that
\[ \overline{(1-w)}^{n}=(w-1)^{n} . \]
Hence show that \((1-w)^{2 n}\) is real.
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