Solve 4!/(4-4)!4!*left(.6right)^4*1.4^(4-4)

$$\frac{ 4 ! }{ (4-4) ! 4 ! } \times { \left(.6 \right) }^{ 4 } \times { 1.4 }^{ (4-4) }$$

Evaluate

$$0.1296$$

Solution Steps

The factorial of 4 is 24.

$$\frac{24}{\left(4-4\right)!\times 4!}\times 0.6^{4}\times 1.4^{4-4}$$

Subtract 4 from 4 to get 0.

$$\frac{24}{0!\times 4!}\times 0.6^{4}\times 1.4^{4-4}$$

The factorial of 0 is 1.

$$\frac{24}{1\times 4!}\times 0.6^{4}\times 1.4^{4-4}$$

The factorial of 4 is 24.

$$\frac{24}{1\times 24}\times 0.6^{4}\times 1.4^{4-4}$$

Multiply 1 and 24 to get 24.

$$\frac{24}{24}\times 0.6^{4}\times 1.4^{4-4}$$

Divide 24 by 24 to get 1.

$$1\times 0.6^{4}\times 1.4^{4-4}$$

Calculate 0.6 to the power of 4 and get 0.1296.

$$1\times 0.1296\times 1.4^{4-4}$$

Multiply 1 and 0.1296 to get 0.1296.

$$0.1296\times 1.4^{4-4}$$

Subtract 4 from 4 to get 0.

$$0.1296\times 1.4^{0}$$

Calculate 1.4 to the power of 0 and get 1.

$$0.1296\times 1$$

Multiply 0.1296 and 1 to get 0.1296.

$$0.1296$$

Factor

$$\frac{3 ^ {4}}{5 ^ {4}} = 0.1296$$