Question

PLEASE help me with factorials and exponents. my work is in blue, how are they are all equal? I don't understand how the answer is: (n!)^n! ≥ (n!)^n ≥ n^n

Answer 1

By choosing n = 2 you were able to show that they were the "equal to" part of the inequality.
2! = 1 × 2 = 2 

Try using n = 3
$(n!)^{(n!)} =(3!)^{(3!)}=6^{6}=46656$
$(n!)^{n}=(3!)^{3}=6^{3}=216$
$n^{n}=3^{3}=27$