Solve 9!*10*9div3!3!2!2!

$$9 ! \times 10 \times 9 \div 3 ! 3 ! 2 ! 2 !$$

Evaluate

$$130636800$$

Solution Steps

Multiply 2! and 2! to get \left(2!\right)^{2}.

$$\frac{9!\times 10\times 9}{3!}\times 3!\times \left(2!\right)^{2}$$

The factorial of 9 is 362880.

$$\frac{362880\times 10\times 9}{3!}\times 3!\times \left(2!\right)^{2}$$

Multiply 362880 and 10 to get 3628800.

$$\frac{3628800\times 9}{3!}\times 3!\times \left(2!\right)^{2}$$

Multiply 3628800 and 9 to get 32659200.

$$\frac{32659200}{3!}\times 3!\times \left(2!\right)^{2}$$

The factorial of 3 is 6.

$$\frac{32659200}{6}\times 3!\times \left(2!\right)^{2}$$

Divide 32659200 by 6 to get 5443200.

$$5443200\times 3!\times \left(2!\right)^{2}$$

The factorial of 3 is 6.

$$5443200\times 6\times \left(2!\right)^{2}$$

Multiply 5443200 and 6 to get 32659200.

$$32659200\times \left(2!\right)^{2}$$

The factorial of 2 is 2.

$$32659200\times 2^{2}$$

Calculate 2 to the power of 2 and get 4.

$$32659200\times 4$$

Multiply 32659200 and 4 to get 130636800.

$$130636800$$

Factor

$$2^{10}\times 3^{6}\times 5^{2}\times 7$$