Question

5!=5*4*3*2*1;6!=6*5*4*3*2*1 What is the value of 4^4/4!

Answer 1

`(32)/(3)`

Explanation:

If 5! is equal to 5 × 4 × 3 × 2 × 1 and 6! is equal to 6 × 5 × 4 × 3 × 2 × 1, then 4! is equal to 4 × 3 × 2 × 1. Thus, 4! = 4 × 3 × 2 × 1, which can simplify to 24. 4! = 24.

`4^(4)` is basically 4 × 4 × 4 × 4, which can simplify to 256.

So,
`(4^(4))/(4!)` =
`(256)/(24)`.
`(256)/(24)` can simplify to
`(32)/(3)`. Therefore,
`(4^(4))/(4!)` =
`(32)/(3)`.