Solve 7!9!/11*2=

$$\frac { 7 ! 9 ! } { 11 \cdot 2 } =$$

Evaluate

$$\frac{914457600}{11}\approx 83132509.090909091$$

Solution Steps

The factorial of 7 is 5040.

$$\frac{5040\times 9!}{11\times 2}$$

The factorial of 9 is 362880.

$$\frac{5040\times 362880}{11\times 2}$$

Multiply 5040 and 362880 to get 1828915200.

$$\frac{1828915200}{11\times 2}$$

Multiply 11 and 2 to get 22.

$$\frac{1828915200}{22}$$

Reduce the fraction \frac{1828915200}{22} to lowest terms by extracting and canceling out 2.

$$\frac{914457600}{11}$$

Factor

$$\frac{2 ^ {10} \cdot 3 ^ {6} \cdot 5 ^ {2} \cdot 7 ^ {2}}{11} = 83132509\frac{1}{11} = 83132509.0909091$$