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Mumz [18]
2 years ago
13

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

Mathematics
1 answer:
german2 years ago
3 0

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}.

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