Evaluate (6!)/((6-6)!)

$\frac{6!}{(6 - 6)!}$

Step 1

Simplify the numerator.

Expand $6!$ to $6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1$ .

$\frac{6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1}{(6 - 6)!}$

Multiply $6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1$ .

Multiply $6$ by $5$ .

$\frac{30 \cdot 4 \cdot 3 \cdot 2 \cdot 1}{(6 - 6)!}$

Multiply $30$ by $4$ .

$\frac{120 \cdot 3 \cdot 2 \cdot 1}{(6 - 6)!}$

Multiply $120$ by $3$ .

$\frac{360 \cdot 2 \cdot 1}{(6 - 6)!}$

Multiply $360$ by $2$ .

$\frac{720 \cdot 1}{(6 - 6)!}$

Multiply $720$ by $1$ .

$\frac{720}{(6 - 6)!}$

Step 2

Simplify the denominator.

Subtract $6$ from $6$ .

$\frac{720}{(0)!}$

Expand $(0)!$ to $1$ .

$\frac{720}{1}$

Step 3

Divide $720$ by $1$ .

$720$