If w is an imaginary cube root of...

If w is an imaginary cube root of unity then prove that
If w is a complex cube root of unity , find the value of `(1+w)(1+w^2)(1+w^4)(1+w^8).....` to n factors.

Similar Questions

Explore conceptually related problems

If omega is a complex cube root of unity, then find the values of: omega + 1/omega

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 root of unity, then (1+omega^2)^4=

If omega is the complex cube root of unity, then find 1/omega^77

If w is a complex cube root of unity, then prove that (1- w + w ^(2)) ^(3) =-8

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