If 2 = -1 - i 3 and 2 = -1 + i 3 , then 5 ^4 + 5 ^4 + 7 ^ -1 ^ -1 is equal to

JEE Main Mathematics question

If and , then is equal to

Answer: (D)

and (the complex cube roots of unity), so and . and

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Question ID VK-013169