Solve (-5)^2*(-1)*2/(-2)^2

$$\frac { ( - 5 ) ^ { 2 } \times ( - 1 ) \times 2 } { ( - 2 ) ^ { 2 } }$$

Evaluate

$$-\frac{25}{2}=-12.5$$

Solution Steps

Calculate -5 to the power of 2 and get 25.

$$\frac{25\left(-1\right)\times 2}{\left(-2\right)^{2}}$$

Multiply 25 and -1 to get -25.

$$\frac{-25\times 2}{\left(-2\right)^{2}}$$

Multiply -25 and 2 to get -50.

$$\frac{-50}{\left(-2\right)^{2}}$$

Calculate -2 to the power of 2 and get 4.

$$\frac{-50}{4}$$

Reduce the fraction \frac{-50}{4} to lowest terms by extracting and canceling out 2.

$$-\frac{25}{2}$$

Factor

$$-\frac{25}{2} = -12\frac{1}{2} = -12.5$$