Solve 1,9^6/(6-1)!(6-1,9)

$$\frac { 1,9 ^ { 6 } } { ( 6 - 1 ) ! ( 6 - 1,9 ) }$$

Evaluate

$$\frac{177147}{164}\approx 1080,164634146$$

Solution Steps

Calculate 9 to the power of 6 and get 531441.

$$\frac{1\times 531441}{\left(6-1\right)!\left(6-1,9\right)}$$

Multiply 1 and 531441 to get 531441.

$$\frac{531441}{\left(6-1\right)!\left(6-1,9\right)}$$

Subtract 1 from 6 to get 5.

$$\frac{531441}{5!\left(6-1,9\right)}$$

The factorial of 5 is 120.

$$\frac{531441}{120\left(6-1,9\right)}$$

Subtract 1,9 from 6 to get 4,1.

$$\frac{531441}{120\times 4,1}$$

Multiply 120 and 4,1 to get 492.

$$\frac{531441}{492}$$

Reduce the fraction \frac{531441}{492} to lowest terms by extracting and canceling out 3.

$$\frac{177147}{164}$$

Factor

$$\frac{3 ^ {11}}{41 \cdot 2 ^ {2}} = 1080\frac{27}{164} = 1080.1646341463415$$