Solve 10!/|10-11!=

$$\frac { 10 ! } { | 10 - 11 ! } =$$

Evaluate

$$\frac{362880}{3991679}\approx 0.090909114$$

Solution Steps

The factorial of 10 is 3628800.

$$\frac{3628800}{|10-11!|}$$

The factorial of 11 is 39916800.

$$\frac{3628800}{|10-39916800|}$$

Subtract 39916800 from 10 to get -39916790.

$$\frac{3628800}{|-39916790|}$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -39916790 is 39916790.

$$\frac{3628800}{39916790}$$

Reduce the fraction \frac{3628800}{39916790} to lowest terms by extracting and canceling out 10.

$$\frac{362880}{3991679}$$

Factor

$$\frac{2 ^ {7} \cdot 3 ^ {4} \cdot 5 \cdot 7}{3991679} = 0.0909091136837406$$