Solve 20!/12!*20^12

$$\frac { 20 ! } { 12 ! \times 20 ^ { 12 } }$$

Evaluate

$$\frac{793611}{640000000000}=0.00000124$$

Solution Steps

The factorial of 20 is 2432902008176640000.

$$\frac{2432902008176640000}{12!\times 20^{12}}$$

The factorial of 12 is 479001600.

$$\frac{2432902008176640000}{479001600\times 20^{12}}$$

Calculate 20 to the power of 12 and get 4096000000000000.

$$\frac{2432902008176640000}{479001600\times 4096000000000000}$$

Multiply 479001600 and 4096000000000000 to get 1961990553600000000000000.

$$\frac{2432902008176640000}{1961990553600000000000000}$$

Reduce the fraction \frac{2432902008176640000}{1961990553600000000000000} to lowest terms by extracting and canceling out 3065610240000.

$$\frac{793611}{640000000000}$$

Factor

$$\frac{3 ^ {3} \cdot 7 \cdot 13 \cdot 17 \cdot 19}{2 ^ {16} \cdot 5 ^ {10}} = 1.2400171875 \times 10^{-6}$$