TELL ME SOLUTION
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ω is an imaginary cube root of unity .
So : ω² + ω + 1 = 0
Now subtract ( - 2 ω² ) both sides :
==> ω - ω² + 1 = - 2 ω²
Take power of 7 both sides :
==> ( ω - ω² + 1 )⁷ = ( - 2 ω² )⁷
= ( - 2 )⁷ ω¹⁴
Note that : ω¹⁴ = ω¹²⁺²
= ω¹².ω²
= ( ω³)⁴.ω²
= 1⁴.ω² = ω²
Insert this value :
= ( - 128 ) ( ω ² )
The answer to your question is - 128 ω²
ANSWER : OPTION D
Hope it helps
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Answered by
5
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