# Fun with Cube root of unity!

Algebra Level 5

Find $$\Re (\omega^\omega )$$, where $$\omega$$ is the cube root of unity with positive imaginary part. Consider the priciple branch for the answer.

Notation: $$\Re (z)$$ denotes the real part of complex number $$z$$.



###### This is a part of my set Aniket's Challenges in Mathematics
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