2015 SRJC P1 Q11 [Modified]

2015 SRJC P1 Q11 [Modified]

Prelims
  1. Given that \(z={{e}^{\frac{2\mathrm{ }\pi\mathrm{ }}{5}\mathrm{i}}}\), find the smallest positive real number \(n\) for \({{z}^{n}}\) to be purely imaginary.

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Answer:\( n = \frac{5}{4} \)

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