Let G=`{1, w, w^(2)}` where w is a complex cube root of unity. Then find the inverse of `w^(2)`. Under usual multiplication.

If omega is a complex cube root of unity, then the value of sin{(omega^(10)+omega^(23))pi- (pi)/(6)} is

If omega is a cube root of unity and (omega-1)^7=A+Bomega then find the values of A and B

If omega is a complex nth root of unity, then underset(r=1)overset(n)(ar+b)omega^(r-1) is equal to

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

If omega is a non real cube root of unity, then (a+b)(a+b omega)(a+b omega^2)=

If omega is a cube root of unity, then find the value of the following: (1+omega-omega^2)(1-omega+omega^2)

In the multiplicative group of cube root of unity the order of omega^2 is…......

In the multiplicative group of cube root of unity the order of omega is…......

Let 1,w,w^2 be the cube root of unity. The least possible degree of a polynomial with real coefficients having roots 2w ,(2+3w),(2+3w^2),(2-w-w^2) is _____________.

If w is a non real cube of unity, then (a+b)(a+bw)(a+bw^2) =