Solve 28/27!*(28-27)!

$$\frac{ 28 }{ 27 ! \times (28-27) ! }$$

Evaluate

$$\frac{1}{388888194657798291456000000}\approx 2.571433162 \cdot 10^{-27}$$

Solution Steps

The factorial of 27 is 10888869450418352160768000000.

$$\frac{28}{10888869450418352160768000000\left(28-27\right)!}$$

Subtract 27 from 28 to get 1.

$$\frac{28}{10888869450418352160768000000\times 1!}$$

The factorial of 1 is 1.

$$\frac{28}{10888869450418352160768000000\times 1}$$

Multiply 10888869450418352160768000000 and 1 to get 10888869450418352160768000000.

$$\frac{28}{10888869450418352160768000000}$$

Reduce the fraction \frac{28}{10888869450418352160768000000} to lowest terms by extracting and canceling out 28.

$$\frac{1}{388888194657798291456000000}$$

Factor

$$\frac{1}{2 ^ {21} \cdot 3 ^ {13} \cdot 5 ^ {6} \cdot 7 ^ {2} \cdot 11 ^ {2} \cdot 13 ^ {2} \cdot 17 \cdot 19 \cdot 23} = 2.5714331618627524 \times 10^{-27}$$