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`