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12 February, 14:43

Find the indicated power using De Moivre's Theorem. (Express your fully simplified answer in the form

(a + bi.) [ (Sqrt (3) - i]^-10

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  1. 12 February, 15:06
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    √3 - i = 2e^ (5πi/6)

    (2e^ (5πi/6)) ^-10 = 2^-10 * e^ (-25πi/3)

    = 2^-10 * (cos (-25π/3) + isin (-25π/3))

    = 2^-10 * (1/2 - i (√3/2))
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