Solve (-1/2/-2)(2*(-1/2))^2-(-frac{1/2}{-2})

$$( \frac { - \frac { 1 } { 2 } } { - 2 } ) ( 2 \cdot ( - \frac { 1 } { 2 } ) ) ^ { 2 } - ( \frac { - \frac { 1 } { 2 } } { - 2 } )$$

Evaluate

$$0$$

Solution Steps

Express \frac{-\frac{1}{2}}{-2} as a single fraction.

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

Multiply 2 and -2 to get -4.

$$\frac{-1}{-4}\times \left(2\left(-\frac{1}{2}\right)\right)^{2}-\frac{-\frac{1}{2}}{-2}$$

Fraction \frac{-1}{-4} can be simplified to \frac{1}{4} by removing the negative sign from both the numerator and the denominator.

$$\frac{1}{4}\times \left(2\left(-\frac{1}{2}\right)\right)^{2}-\frac{-\frac{1}{2}}{-2}$$

Multiply 2 and -\frac{1}{2} to get -1.

$$\frac{1}{4}\left(-1\right)^{2}-\frac{-\frac{1}{2}}{-2}$$

Calculate -1 to the power of 2 and get 1.

$$\frac{1}{4}\times 1-\frac{-\frac{1}{2}}{-2}$$

Multiply \frac{1}{4} and 1 to get \frac{1}{4}.

$$\frac{1}{4}-\frac{-\frac{1}{2}}{-2}$$

Express \frac{-\frac{1}{2}}{-2} as a single fraction.

$$\frac{1}{4}-\frac{-1}{2\left(-2\right)}$$

Multiply 2 and -2 to get -4.

$$\frac{1}{4}-\frac{-1}{-4}$$

Fraction \frac{-1}{-4} can be simplified to \frac{1}{4} by removing the negative sign from both the numerator and the denominator.

$$\frac{1}{4}-\frac{1}{4}$$

Subtract \frac{1}{4} from \frac{1}{4} to get 0.

$$0$$

Factor

$$0$$