Question:medium
Let \( \omega \ne 1 \) be a cube root of unity and \( (1+\omega)^7 = a + \omega \). Then the value of \( a \) is
Let \( \omega \ne 1 \) be a cube root of unity and \( (1+\omega)^7 = a + \omega \). Then the value of \( a \) is
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Always reduce powers of \(\omega\) using \(\omega^3=1\).
Updated On: Apr 30, 2026
- \( \omega^2 \)
- \( \omega \)
- \( \frac{1}{2} \)
- \( 1 \)
- \( 0 \)
Show Solution
The Correct Option is
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