For those who don't know part 2 (omega)

Algebra Level 5

\[ \left ( \frac { 9-7 \omega}{9\omega ^2 - 7} - \frac {5-3\omega^2}{5\omega - 3} \right )^8 = \ ? \]

If you like this problem try to solve this

Details and Assumption

\( \omega \) denotes the cube root unity (\( \ne 1 \))

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