Question

If ω is a cube root of unity, then the value of (1 + ω)(1 + ω2)(1 + ω4)(1 + ω8) ...... up to 2n factors is

Answer 1

Final Result : 1

Things to know :
1) If w is imaginary cube root of unity ,
then 1+w+w^2= 0 & w^3 = 1:

For calc. see pic.

Hope, you understand my answer!