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Math Solver

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de Moivres formel

Enligt de Moivres formel kan man för ett komplext tal z beräkna

z^{n}

genom att upphöja absolutbeloppet för z till n och multiplicera argumentet med n. Om man t.ex. vill upphöja ett tal med ∣z∣=2 och

ar g (z) = \frac{π}{3}

till 3 får man

∣ z^{3} ∣ = 2^{3} och ar g (z^{3}) = 3 \cdot ar g (z) .

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