Solve 15!/12!0.7^120.3^3

$$\frac{ 15 ! }{ 12 ! } { 0.7 }^{ 12 } { 0.3 }^{ 3 }$$

Evaluate

$$1.02024127958571$$

Solution Steps

The factorial of 15 is 1307674368000.

$$\frac{1307674368000}{12!}\times 0.7^{12}\times 0.3^{3}$$

The factorial of 12 is 479001600.

$$\frac{1307674368000}{479001600}\times 0.7^{12}\times 0.3^{3}$$

Divide 1307674368000 by 479001600 to get 2730.

$$2730\times 0.7^{12}\times 0.3^{3}$$

Calculate 0.7 to the power of 12 and get 0.013841287201.

$$2730\times 0.013841287201\times 0.3^{3}$$

Multiply 2730 and 0.013841287201 to get 37.78671405873.

$$37.78671405873\times 0.3^{3}$$

Calculate 0.3 to the power of 3 and get 0.027.

$$37.78671405873\times 0.027$$

Multiply 37.78671405873 and 0.027 to get 1.02024127958571.

$$1.02024127958571$$

Factor

$$\frac{13 \cdot 3 ^ {4} \cdot 7 ^ {13}}{2 ^ {14} \cdot 5 ^ {14}} = 1\frac{2024127958571}{100000000000000} = 1.02024127958571$$