List the following functions in order from their asymptotic growth from smallest to largest and write its theta next to it:

sqrt(n^4((log n)^2)+n^5)

sqrt(n^2)log(n^3)

2^100(n!)

2^100

n^0.5(log n)^5

4^(n/3)

(2^n+3^n)(3^n+4^n)

(log2^n)^2

(n^2(log n)/(log n)+6)

((n^2)+n)/((log n)+(n))