Solve (10!)/6^24

$$\frac { ( 10 ! ) } { 6 ^ { 24 } }$$

Evaluate

$$\frac{175}{228509902503936}\approx 7.658311438 \cdot 10^{-13}$$

Solution Steps

The factorial of 10 is 3628800.

$$\frac{3628800}{6^{24}}$$

Calculate 6 to the power of 24 and get 4738381338321616896.

$$\frac{3628800}{4738381338321616896}$$

Reduce the fraction \frac{3628800}{4738381338321616896} to lowest terms by extracting and canceling out 20736.

$$\frac{175}{228509902503936}$$

Factor

$$\frac{5 ^ {2} \cdot 7}{2 ^ {16} \cdot 3 ^ {20}} = 7.6583114378155095 \times 10^{-13}$$