Question

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

Answer 1

Answer:

$\frac{32}{3}$

Step-by-step 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,  $\frac{4^{4}}{4!}$ = $\frac{256}{24}$.  $\frac{256}{24}$ can simplify to $\frac{32}{3}$. Therefore,  $\frac{4^{4}}{4!}$ = $\frac{32}{3}$.