If \( \alpha \) and \( \beta \) are imaginary cube roots of unity, then the value of \( \alpha^{...

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If \( \alpha \) and \( \beta \) are imaginary cube roots of unity, then find the value of \( \al... If \( \alpha \) and \( \beta \) are imaginary cube roots of unity, then find the value of \( \al...
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