If w is an imaginary cube root of unity then prove that
`(1-w+w^2)(1-w^2+w^4)(1-w^4+w^8)....... " to " 2n "factors" =2^(2n)` .

Similar Questions

Explore conceptually related problems

If w is an imaginary cube root of unity then prove that (1-w)(1-w^2)(1-w^4)(1-w^5)=9

If w be an imaginary cube root of unity, prove that (1-w+w^2)^2+(1+w-w^2)^2=-4

If w be an imaginary cube root of unity,show that 1+w^(n)+w^(2n)=0, for n=2,4

If omega be an imaginary cube root of unity, prove that (1-omega)(1-omega^2)(1-omega^4)(1-omega^8)=9

If w is an imaginary cube root of unity, find the value of |[1,w, w^2],[ w ,w^2 ,1],[w^2 ,1,w]| .

If omega is an imaginary cube root of unity, then show that (1-omega)(1-omega^2)(1-omega^4) (1-omega^5)=9

If omega be an imaginary cube root of unity, prove that (1-omega+omega^2)(1+omega-omega^2)=4

If w is the imaginary cube root of unity evaluate |(1,w,w^2),(w,w^2,1),(w^2,1,w)|

If omega be an imaginary cube root of unity, show that (1+omega-omega^2)(1-omega+omega^2)=4