Find the value of `omega^18`

Find the value of: omega^768

Find the value of: omega^-30

Find the value of: omega^-105

Find the value of: omega^-105

Find the value of: omega^-364

If omega is the cube root of unity then find the value of |[1,omega^(6),omega^(8)],[omega^(6),omega^(3),omega^(7)],[omega^(8),omega^(7),1]|

find the value of (1+omega)(1+omega^(2))(1+omega^(3))(1+omega^(4))

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

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))=