Express the complex numbers (1 - i)4 in the form of a + ib. - Vidyadip

Question

Express the complex numbers (1 - i)⁴in the form of a + ib.

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Answer

(1 - i)⁴ = [(1 - i)²]²
= (1 + i² - 2i)²
= (1 - 1 - 2i)² = (-2i)²
$ = 4{i^2} = 4 \times - 1 = - 4$

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