If `z^2(bar omega)^4=1` where `omega` is a nonreal complex cube root of 1 then find z.

If omega is the complex cube root of unity, then find 1/omega^77

If omega is the complex cube root of unity, then find 1/omega^405

If z=omega,omega^2 where omega is a non-real complex cube root of unity, are two vertices of an equilateral triangle in the Argand plane, then the third vertex may be represented by a, z=1 b. z=0 c. z=-2 d. z=-1

If z=omega,omega^2 where omega is a non-real complex cube root of unity, are two vertices of an equilateral triangle in the Argand plane, then the third vertex may be represented by a, z=1 b. z=0 c. z=-2 d. z=-1

If z=omega,omega^(2)where omega is a non-real complex cube root of unity,are two vertices of an equilateral triangle in the Argand plane,then the third vertex may be represented by z=1 b.z=0 c.z=-2 d.z=-1

If omega is the complex cube root of unity, then find omega+1/omega

If omega is the complex cube root of unity, then find (1-omega+omega^2)^4

ABCD is a rhombus in the argand plane.If the affixes of the vertices are z_(1),z_(2),z_(3),z_(4) respectively and /_CBA=(pi)/(3) then find the value of z_(1)+omega z_(2)+omega^(2)z_(3) where omega is a complex cube root of the unity

If omega is the complex cube root of unity, then find (1+omega^2)(1+omega^4)

If omega is the complex cube root of unity, then find (1-omega^2)(1-omega^4)