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Write the comple number in a + ib form u...

Write the comple number in a + ib form unsing cube roots of unity: (a) `(-(1)/(2) + sqrt(3)/(2)i)^(1000)`(b)If `z =(sqrt(3) + i)^(17)/((1-i)^(50))` (c) `(i + sqrt(3))^(100) + (i+ sqrt(3))^(100) + 2^(100)`

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Write the complex number in a + ib form using cube roots of unity: (-(1)/(2) + sqrt(3)/(2)i)^(1000)

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