lf `omega` is fifth root ofunity and `E=(1+1)^n+(1+omega)^n+(1+omega^2)^n+(1+omega^3)^n+(1+omega^4)^n`, then

If omega is an imaginary cube root of unity, then find the value of (1+omega)(1+omega^2)(1+omega^3)(1+omega^4)(1+omega^5)........(1+omega^(3n))=

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

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

If omega is a complex cube root of unity, then (1+omega)(1+(omega)^2)(1+(omega)^4)(1+(omega)^8)) ….....upto 2n factors = …....

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

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