Suppose $w$ is a cube root of unity. Then we know that $w^3 =1$. now suppose we want the value of $w^4$.
$w^4 = (w^3)^{4/3} = 1^{4/3} = 1$ which is obviously false
Why does this happen?
2026-04-13 13:47:46.1776088066
Root of unity paradox
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