Evaluate :

`omega^4 + omega^8 + omega^(-1 ) omega^(-2 )`

If omega is the cube root of unity then find the value of |[1,omega^(6),omega^(8)],[omega^(6),omega^(3),omega^(7)],[omega^(8),omega^(7),1]|

The value of (x+omega+omega^(2)) (x +omega^(2)+omega^(4))(x +omega^(4)+omega^(8)) .... till 2n factors

What is the value of |(1,omega,2 omega^(2)),(2,2omega^(2),4 omega^(3)),(3,3 omega^(3),6 omega^(4))| , where omega is the cube root of the unity ?