Solve =5!/2!3!(.85)^3(-15)^2

$$= \frac { 5 ! } { 2 ! 3 ! } ( .85 ) ^ { 3 } ( - 15 ) ^ { 2 }$$

Evaluate

$$1381.78125$$

Solution Steps

The factorial of 5 is 120.

$$\frac{120}{2!\times 3!}\times 0.85^{3}\left(-15\right)^{2}$$

The factorial of 2 is 2.

$$\frac{120}{2\times 3!}\times 0.85^{3}\left(-15\right)^{2}$$

The factorial of 3 is 6.

$$\frac{120}{2\times 6}\times 0.85^{3}\left(-15\right)^{2}$$

Multiply 2 and 6 to get 12.

$$\frac{120}{12}\times 0.85^{3}\left(-15\right)^{2}$$

Divide 120 by 12 to get 10.

$$10\times 0.85^{3}\left(-15\right)^{2}$$

Calculate 0.85 to the power of 3 and get 0.614125.

$$10\times 0.614125\left(-15\right)^{2}$$

Multiply 10 and 0.614125 to get 6.14125.

$$6.14125\left(-15\right)^{2}$$

Calculate -15 to the power of 2 and get 225.

$$6.14125\times 225$$

Multiply 6.14125 and 225 to get 1381.78125.

$$1381.78125$$

Factor

$$\frac{3 ^ {2} \cdot 17 ^ {3}}{2 ^ {5}} = 1381\frac{25}{32} = 1381.78125$$