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Question

Mathematics Question on Complex Numbers and Quadratic Equations

Express the given complex number in the form a+ib:(1i)4a + ib: (1 - i)^{4}

Answer

(1i)4(1 - i)^{4}

=[(1i)2]2=[(1-i)^2]^2

=[112i]2=[1-1-2i]^2

=[2i]2=[-2i]^2

=4i2=4i2

=4=-4 (Ans.)