" If "alpha" is non-real and "alpha=root(5)(1)," then the valve of "2^(|t-a+d)+a^(-)-a|" is equal to "

If alpha is non real and alpha=root(5)(1) then value of 2^(|1+alpha+alpha^(2)+alpha^(-2)-alpha^(-1)|) is equal to

If alpha is a non-real and alpha=(1)^(1//5) then the value of 2^(|1+alpha+alpha^2+alpha^(-2) +alpha^(-1)|) is equal to

If alpha is non real and alpha=1^((1)/(5)) then value of 2^(|1+alpha+alpha^(2)+alpha^(-2)-alpha^(-1)|) is equal to

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

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