If = -1+ -3 2 then what is the value of (1+ ^ 19 - ^ 35 )^ 100 -(1-3 ^ 25 + ^ 38 )^ 50 ?

NDA 2025 Mathematics question

If then what is the value of ?

Answer: (C)

, a complex cube root of unity, so and . , , , . First bracket: $1+ω-ω^2 =

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Question ID VK-030139