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 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 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 nonreal and alpha= (1)^(1/5) then the find the value of 2^(|1+alpha+alpha^2+alpha^-2-alpha^-1|)

If alpha is nonreal and alpha=(1)^((1)/(5)) then the find the value of 2^(|1+alpha+alpha^(2)+alpha^(-2)-alpha^(-2))-alpha^(-1)|

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 root of x^(7) = 1 then alpha (1 + alpha)(1 + alpha^(2) + alpha^(4))=

If alpha is a non-real root of x^(7) = 1 then alpha(1 + alpha) (1 + alpha^(2) + alpha^(4)) =