If `alpha` is a non-real fifth root of unity, then the value of `3^(|1+alpha+alpha^(2),alpha^(-2)-alpha^(-1)|`, is

If a is a non-real fourth root of unity, then the value of alpha^(4n-1)+alpha^(4n-2)+alpha^(4n-3), n in N is

If a is a non-real fourth root of unity, then the value of alpha^(4n-1)+alpha^(4n-2)+alpha^(4n-3), n in N is

If alpha is a non-real fourth roots of unity, then the values of alpha^(4 n-1)+alpha^(4 n-2)+alpha^(4 n-3), n in N is

If alpha the fifth root of unity then

If alpha is a non-real cube root of -2 , then the value of |(1,2 alpha,1),(alpha^(2),1,3 alpha^(2)),(2,2 alpha,1)| , is

If alpha is a non-real cube root of -2 , then the value of |(1,2 alpha,1),(alpha^(2),1,3 alpha^(2)),(2,2 alpha,1)| , is

If alpha is a non-real fifth root of unity, then 3^(|1+alpha+a^(2)+a^(-2)-a^(-1) |)=

If alpha Is the fifth root of unity, then :

If alpha is non real fifth root of unity then alpha^(101)+alpha^(102)+alpha^(103)+alpha^(104)+alpha^(105) is