If `omega` is the cube root of unity, then what is the con jugate of `2omega^(2)+3i` ?

If omega is a cube root of unity, then omega^(3) = ……

If omega is a cube root of unity, then 1+ omega^(2)= …..

If omega is the imaginary cube root of unity, then what is (2-omega+2omega^(2))^(27) equal to ?

If omega is a complex cube root of unity, then show that: (2 + omega + omega^2)^3 - (1 - 3omega + omega^2)^3 = 65

If omega is a complex cube root of unity, then find the values of: omega^2 + omega^3 + omega^4

If omega is a cube root of unity, then omega + omega^(2)= …..

If omega ne 1 is a cube root of unity, then 1, omega, omega^(2)