If `omega` is a complex number , then find the value of `omega^5`

Find the value of: omega^-105

Find the value of: omega^-105

Find the value of: omega^-30

Find the value of: omega^768

Find the value of: omega^-364

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 the complex cube root of unity, then the value of omega+omega ^(1/2+3/8+9/32+27/128+………..) ,

If omega is a complex cube root of unity then the value of (1+omega)(1+omega^(2))(1+omega^(4)).......2n terms-

If 1,x_(1),x_(2),x_(3) are the roots of x^(4)-1=0andomega is a complex cube root of unity, find the value of ((omega^(2)-x_(1))(omega^(2)-x_(2))(omega^(2)-x_(3)))/((omega-x_(1))(omega-x_(2))(omega-x_(3)))