Question

How do you simplify `(24!)/(22)`?

Answer 1

`(24!)/(22!) = 24xx23 = 552`

`(24!)/22 = 552*21! = 28202200078783610880000`

Explanation:

`24! = 24 xx 23 xx 22 xx 21 xx 20 xx...xx 3 xx 2 xx 1`

So

`(24!)/(22!) = (24 xx 23 xx color(red)(cancel(color(black)(22 xx 21 xx 20 xx...xx 3 xx 2 xx 1))))/color(red)(cancel(color(black)(22 xx 21 xx 20 xx...xx 3 xx 2 xx 1)))`

`=24 xx 23 = 552`

`(24!)/22 = (24 xx 23 xx color(red)(cancel(color(black)(22))) xx 21 xx 20 xx...xx 3 xx 2 xx 1) / color(red)(cancel(color(black)(22)))`

`=24 xx 23 xx 21! = 552*21!`

`=552 * 51090942171709440000`

`=28202200078783610880000`