Answer:
[tex]\frac{32}{3}[/tex]
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.
[tex]4^{4}[/tex] is basically 4 × 4 × 4 × 4, which can simplify to 256.
So, [tex]\frac{4^{4}}{4!}[/tex] = [tex]\frac{256}{24}[/tex]. [tex]\frac{256}{24}[/tex] can simplify to [tex]\frac{32}{3}[/tex]. Therefore, [tex]\frac{4^{4}}{4!}[/tex] = [tex]\frac{32}{3}[/tex].
