Solve 3!/2!0.75^30.25^0

$$\frac{ 3 ! }{ 2 ! } { 0.75 }^{ 3 } { 0.25 }^{ 0 }$$

Evaluate

$$1.265625$$

Solution Steps

The factorial of 3 is 6.

$$\frac{6}{2!}\times 0.75^{3}\times 0.25^{0}$$

The factorial of 2 is 2.

$$\frac{6}{2}\times 0.75^{3}\times 0.25^{0}$$

Divide 6 by 2 to get 3.

$$3\times 0.75^{3}\times 0.25^{0}$$

Calculate 0.75 to the power of 3 and get 0.421875.

$$3\times 0.421875\times 0.25^{0}$$

Multiply 3 and 0.421875 to get 1.265625.

$$1.265625\times 0.25^{0}$$

Calculate 0.25 to the power of 0 and get 1.

$$1.265625\times 1$$

Multiply 1.265625 and 1 to get 1.265625.

$$1.265625$$

Factor

$$\frac{3 ^ {4}}{2 ^ {6}} = 1\frac{17}{64} = 1.265625$$