Give the asymptotic complexity of each of the following functions in simplest terms. Your solution should have the form (n) or ((lg(n))) or (n(lg(n))) or (n) or (1), where and are constants.

(j) fj(n) = lg^2(n) + n*lg(n^3) + 500n

(k) fk(n) = ((5n^5)(6n)(121n^10))^(1/5)+n*lg(n^100)

(l) fl(n) = n^(n-1)

(m) fm(n)= 2^(cube root(n))