Find the value of: `omega^-105`

Find the value of: omega^-30

Find the value of: omega^-364

Find the value of: omega^768

Find the value of (i)omega^(21)(i i)omega^(18)

If omega!=1 is a cube root of unity, then find the value of |[1+2omega^100+omega^200,omega^2,1],[1,1+omega^100+2omega^200,omega],[omega,omega^2,2+omega^100+omega^200]|

If omega is a cube root of unity then find the value of sin((omega^(10)+omega^(23))pi -pi/4)

If omega is a cube root of unity then find the value of sin((omega^(10)+omega^(23))pi-pi/4)

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)))

If omega is an imaginary cube root of unity, then find the value of (1+omega)(1+omega^2)(1+omega^3)(1+omega^4)(1+omega^5)........(1+omega^(3n))=

If 1,omega,omega^(2),...omega^(n-1) are n, nth roots of unity, find the value of (9-omega)(9-omega^(2))...(9-omega^(n-1)).