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

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mikeadam1234 | Student, Undergraduate | (Level 2) eNoter

Posted July 27, 2012 at 6:16 PM via web

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

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted July 27, 2012 at 6:21 PM (Answer #1)

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The complex number (1 - i)^4 has to be expressed in the form a + ib.

(1 - i)^4

=> (1 + i^2 - 2i)^2

=> (1 - 1 - 2i)^2

=> (-2i)^2

=> 4*i^2

=> -4

In the form a + ib, this is -4 + 0*i

The expression (1 - i)^4 can be simplified to -4 + 0*i.

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