(1+omega)(1+omega^(2))(1+omega^(4))(1+omega^(8))..." upto "2n" factors "=1

If omega is a non-real complex cube root of unity, find the values of (1+omega)(1+omega^(2) )(1+omega^(4))(1+omega^(8)) ...upto 2n factors

If omega is a complex cube roots of unity, then find the value of the (1+ omega)(1+ omega^(2))(1+ omega^(4)) (1+ omega^(8)) … to 2n factors.

If omega is a complex cube roots of unity, then find the value of the (1+ omega)(1+ omega^(2))(1+ omega^(4)) (1+ omega^(8)) … to 2n factors.

Prove the following (1+ omega) (1+ omega^(2)) (1 + omega^(4)) (1 + omega^(8)) ….to 2n factors = 1

If 1,omega,omega^(2) are the cube roots of unity (1+omega)(1+omega^(2))(1+omega^(4))(1+omega^(5))....... to 2n factors

If omega is a non-real complex cube root of unity, find the values of the following. (i) omega^(1999) (ii) omega^(998) (iii) ((-1+isqrt(3))/2)^(3n+2),ninNand i=sqrt(-1) (iv) (1+omega)(1+omega )^(2)(1+omega)^(4)(1+omega)^(8) ...upto 2n factors (v) ((alpha+betaomega+gammaomega^(2)+deltaomega^(2))/(beta+alphaomega^(2)+gammaomega+deltaomega))," where "alpha,beta,gamma,delta, in R (vi) 1*(2-omega)(2-omega^(2))+2*(3-omega)(3-omega^(2))+3*(4-omega)(4-omega^(2))+...+...+(n-1)*(n-omega)(n-omega^(2))

If omega is a non-real complex cube root of unity, find the values of the following. (i) omega^(1999) (ii) omega^(998) (iii) ((-1+isqrt(3))/2)^(3n+2),ninNand i=sqrt(-1) (iv) (1+omega)(1+omega )^(2)(1+omega)^(4)(1+omega)^(8) ...upto 2n factors (v) ((alpha+betaomega+gammaomega^(2)+deltaomega^(2))/(beta+alphaomega^(2)+gammaomega+deltaomega))," where "alpha,beta,gamma,delta, in R (vi) 1*(2-omega)(2-omega^(2))+2*(3-omega)(3-omega^(2))+3*(4-omega)(4-omega^(2))+...+...+(n-1)*(n-omega)(n-omega^(2))

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

(1 - omega + omega^(2)) ( 1 - omega^(2) + omega^(4)) ( 1- omega^(4) + omega^(8)) to 2n factors =

(1+omega)(1+omega^(2))(1+omega^4)(1+omega^(5))..........2n factors =