Evaluate (10!)/((10-10)!)

$\frac{10!}{(10 - 10)!}$

Step 1

Simplify the numerator.

Expand $10!$ to $10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1$ .

$\frac{10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1}{(10 - 10)!}$

Multiply $10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1$ .

Multiply $10$ by $9$ .

$\frac{90 \cdot 8 \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1}{(10 - 10)!}$

Multiply $90$ by $8$ .

$\frac{720 \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1}{(10 - 10)!}$

Multiply $720$ by $7$ .

$\frac{5040 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1}{(10 - 10)!}$

Multiply $5040$ by $6$ .

$\frac{30240 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1}{(10 - 10)!}$

Multiply $30240$ by $5$ .

$\frac{151200 \cdot 4 \cdot 3 \cdot 2 \cdot 1}{(10 - 10)!}$

Multiply $151200$ by $4$ .

$\frac{604800 \cdot 3 \cdot 2 \cdot 1}{(10 - 10)!}$

Multiply $604800$ by $3$ .

$\frac{1814400 \cdot 2 \cdot 1}{(10 - 10)!}$

Multiply $1814400$ by $2$ .

$\frac{3628800 \cdot 1}{(10 - 10)!}$

Multiply $3628800$ by $1$ .

$\frac{3628800}{(10 - 10)!}$

Step 2

Simplify the denominator.

Subtract $10$ from $10$ .

$\frac{3628800}{(0)!}$

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

$\frac{3628800}{1}$

Step 3

Divide $3628800$ by $1$ .

$3628800$