Using Argument to Determine The Nature of a Complex Number Q2
Using Argument to Determine The Nature of a Complex Number Q2
Given that \(z={\mathrm{e}}^{-\frac{\pi}{3}\mathbf{i}}\), find the smallest positive integer \(n\) for \(z^{*}z^{2n}\) to be a negative real number.
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Answer:\( n = 2 \)
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