Solve 57*10!/1!9!/10^6

$$\frac { 57 \times \frac { 10 ! } { 1 ! 9 ! } } { 10 ^ { 6 } }$$

Evaluate

$$\frac{57}{100000}=0.00057$$

Solution Steps

The factorial of 10 is 3628800.

$$\frac{57\times \frac{3628800}{1!\times 9!}}{10^{6}}$$

The factorial of 1 is 1.

$$\frac{57\times \frac{3628800}{1\times 9!}}{10^{6}}$$

The factorial of 9 is 362880.

$$\frac{57\times \frac{3628800}{1\times 362880}}{10^{6}}$$

Multiply 1 and 362880 to get 362880.

$$\frac{57\times \frac{3628800}{362880}}{10^{6}}$$

Divide 3628800 by 362880 to get 10.

$$\frac{57\times 10}{10^{6}}$$

Multiply 57 and 10 to get 570.

$$\frac{570}{10^{6}}$$

Calculate 10 to the power of 6 and get 1000000.

$$\frac{570}{1000000}$$

Reduce the fraction \frac{570}{1000000} to lowest terms by extracting and canceling out 10.

$$\frac{57}{100000}$$

Factor

$$\frac{3 \cdot 19}{2 ^ {5} \cdot 5 ^ {5}} = 0.00057$$