Let . What is the value of ?

Answer and explanation

Correct answer: C. 3280

  1. Step 1: The eighth roots of unity satisfy the polynomial factorization .
  2. Step 2: Divide both sides by for : .
  3. Step 3: Evaluate the identity at : .
Answer
3280.
Why not the others: results from omitting the division by , while uses seventh roots of unity.

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