`(1-omega+omega^(2))(1-omega^(2)+omega^(4))(1-omega^(4)+omega^(8))` …….. to 2n factors

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

If omega(ne1) is a cube root of unity, then (1-omega+omega^(2))(1-omega^(2)+omega^(4))(1-omega^(4)+omega^(8)) …upto 2n is factors, is

If omega(ne1) is a cube root of unity, then (1-omega+omega^(2))(1-omega^(2)+omega^(4))(1-omega^(4)+omega^(8)) …upto 2n is factors, is

If omega(ne1) is a cube root of unity, then (1-omega+omega^(2))(1-omega^(2)+omega^(4))(1-omega^(4)+omega^(8)) …upto 2n is factors, is

If omega(ne1) is a cube root of unity, then (1-omega+omega^(2))(1-omega^(2)+omega^(4))(1-omega^(4)+omega^(8)) …upto 2n is factors, is

If omega be an imaginary cube root or unity, prove that (1- omega+ omega^(2)) (1-omega^(2)+ omega^(4)) (1- omega^(4)+ omega ^(8))..."to" 2 n th factor =2^(2n)

If omega is an imaginary cube root of unity ,then the value of (1-omega+omega^(2)).(1-omega^2+omega^(4)).(1-omega^(4)+omega^(8)) ………….(2n factors) is

Show that (a+ omega +omega ^(2))(a+omega ^(2)+omega ^(4))(a+omega ^(4)+omega ^(8))... upto 2n factosrs =(a-1)^(2n) .

The value of (x+omega+omega^(2)) (x +omega^(2)+omega^(4))(x +omega^(4)+omega^(8)) .... till 2n factors

If 1,omega,omega^(2) are cube roots of unity then (1-omega+omega^(2))(1-omega^(2)+omega^(4))(1-omega^(4)+omega^(8)) is equal to