Solve 12!/7!0.8725^7*0.1225^5

$$\frac{ 12 ! }{ 7 ! } { 0.8725 }^{ 7 } \times { 0.1225 }^{ 5 }$$

Evaluate

$$1.009124895593681219873000495853424072265625$$

Solution Steps

The factorial of 12 is 479001600.

$$\frac{479001600}{7!}\times 0.8725^{7}\times 0.1225^{5}$$

The factorial of 7 is 5040.

$$\frac{479001600}{5040}\times 0.8725^{7}\times 0.1225^{5}$$

Divide 479001600 by 5040 to get 95040.

$$95040\times 0.8725^{7}\times 0.1225^{5}$$

Calculate 0.8725 to the power of 7 and get 0.3849089853465606378173828125.

$$95040\times 0.3849089853465606378173828125\times 0.1225^{5}$$

Multiply 95040 and 0.3849089853465606378173828125 to get 36581.7499673371230181640625.

$$36581.7499673371230181640625\times 0.1225^{5}$$

Calculate 0.1225 to the power of 5 and get 0.00002758547353515625.

$$36581.7499673371230181640625\times 0.00002758547353515625$$

Multiply 36581.7499673371230181640625 and 0.00002758547353515625 to get 1.009124895593681219873000495853424072265625.

$$1.009124895593681219873000495853424072265625$$

Factor

$$\frac{11 \cdot 3 ^ {3} \cdot 7 ^ {10} \cdot 349 ^ {7}}{2 ^ {42} \cdot 5 ^ {23}} = 1\frac{4.784073261019972 \times 10^{26}}{5.2428799999999995 \times 10^{28}} = 1.0091248955936813$$