Value of `omega^(n)+omega^(2n)," where "omega=(-1+isqrt3)/(2)andn=3k+1,` is

Value of w^n+w^(2n) ,where w=(-1+isqrt3)/2 and n=3k+1,is____

The value of (1+omega^(2)+2 omega)^(3n)-(1+omega+2 omega^(2))^(3n) is

The value of (1+omega^(2)+2 omega)^(3 n)-(1+omega+2 omega^(2))^(3 n)=

If 1, omega, omega^(2) are the cube roots of unity, then the value of |(1,omega^(n),omega^(2n)),(omega^(n),omega^(2n),1),(omega^(2n),1,omega^(n))| is equal to -

The value of the expression 1.(2- omega)(2- omega^(2)) + 2.(3-omega) (3-omega^(2)) + …+ (n-1)(n- omega)(n- omega^(2)) , where omega is an imaginary cube root of unity is

If omega is an imaginary cube root of unity then the value of omega^n+omega^(2n) (where n is not a multiple of 3) is

If n is of the form 3m+2, 1+omega^(-11) +omega^(-2n) = _______ where omega is a nonreal cube root of 1.