1.

Express of the complex number in the form `a + i b`.`(1-i)^4`

Answer» `(1-i)^4`
`((1-i)^2)^2`
`= (1^2 + i^2 - 2i)^2`
`= (cancel(1) cancel(- 1) - 2i)^2`
= `(-2i)^2`
`=4i^2`
`= 4(-1)`
`=-4`
so, a= -4 & b=0


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