Solve 3!/2!0.75^20.25^

$$\frac{ 3 ! }{ 2 ! } { 0.75 }^{ 2 } { 0.25 }^{ }$$

Evaluate

$$0.421875$$

Solution Steps

The factorial of 3 is 6.

$$\frac{6}{2!}\times 0.75^{2}\times 0.25^{1}$$

The factorial of 2 is 2.

$$\frac{6}{2}\times 0.75^{2}\times 0.25^{1}$$

Divide 6 by 2 to get 3.

$$3\times 0.75^{2}\times 0.25^{1}$$

Calculate 0.75 to the power of 2 and get 0.5625.

$$3\times 0.5625\times 0.25^{1}$$

Multiply 3 and 0.5625 to get 1.6875.

$$1.6875\times 0.25^{1}$$

Calculate 0.25 to the power of 1 and get 0.25.

$$1.6875\times 0.25$$

Multiply 1.6875 and 0.25 to get 0.421875.

$$0.421875$$

Factor

$$\frac{3 ^ {3}}{2 ^ {6}} = 0.421875$$