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)).`

If 1, w, w ^(2),..., w ^( n-1) are the nth roots of unity then (2-w) (2-w ^(2)) ...( 2 - w ^(n -1)) equals:

If a,b,c are distinct integers and omega(ne 1) is a cube root of unity, then the minimum value of |a+bomega+comega^(2)|+|a+bomega^(2)+comega| is

If omega = (-1+sqrt3i)/2 , find the value of |(1, omega, omega^2),(omega, omega^2, 1),(omega^2, 1 , omega)|

If omega(ne1) is a cube root of unity, then (1-omega+omega^(2))(1-omega^(2)+omega^(4))(1-omega^(4)+omega^(8)) …upto 2n is factors, is

With 1,omega,omega^(2) as cube roots of unity, inverse of which of the following matrices exists?

if omegaa n domega^2 are the nonreal cube roots of unity and [1//(a+omega)]+[1//(b+omega)]+[1//(c+omega)]=2omega^2 and [1//(a+omega)^2]+[1//(b+omega)^2]+[1//(c+omega)^2]=2omega^ , then find the value of [1//(a+1)]+[1//(b+1)]+[1//(c+1)]dot

If omega!=1 is a complex cube root of unity, then prove that [{:(1+2omega^(2017)+omega^(2018)," "omega^(2018),1),(1,1+2omega^(2018)+omega^(2017),omega^(2017)),(omega^(2017),omega^(2018),2+2omega^(2017)+omega^(2018)):}] is singular

If omega is a cube root of unity and (1+omega)^7=A+Bomega then find the values of A and B

If omega^(3)=1 and omega ne1 , then (1+omega)(1+omega^(2))(1+omega^(4))(1+omega^(5)) is equal to