(1-i)⁴ write the a+ib form
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Answer:
-4 + i.0
Step-by-step explanation:
( 1 - i )⁴
= { ( 1 - i )² }²
= { ( 1 )² - 2.1.( i ) + ( i )²}² [ °.° ( a - b )² = a² - 2ab + b² ]
= ( 1 - 2i - 1 )² [ we know that i ² = -1
= ( - 2i )²
= 4i²
= - 4
so
-4 + i.0 is the answer, where
a = -4
b= 0
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