Solve (-2)^2div(-8)-(-1/2)^3*(-2)

$$( - 2 ) ^ { 2 } \div ( - 8 ) - ( - \frac { 1 } { 2 } ) ^ { 3 } \times ( - 2 )$$

Evaluate

$$-\frac{3}{4}=-0.75$$

Solution Steps

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

$$\frac{4}{-8}-\left(-\frac{1}{2}\right)^{3}\left(-2\right)$$

Reduce the fraction \frac{4}{-8} to lowest terms by extracting and canceling out 4.

$$-\frac{1}{2}-\left(-\frac{1}{2}\right)^{3}\left(-2\right)$$

Calculate -\frac{1}{2} to the power of 3 and get -\frac{1}{8}.

$$-\frac{1}{2}-\left(-\frac{1}{8}\left(-2\right)\right)$$

Express -\frac{1}{8}\left(-2\right) as a single fraction.

$$-\frac{1}{2}-\frac{-\left(-2\right)}{8}$$

Multiply -1 and -2 to get 2.

$$-\frac{1}{2}-\frac{2}{8}$$

Reduce the fraction \frac{2}{8} to lowest terms by extracting and canceling out 2.

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

Least common multiple of 2 and 4 is 4. Convert -\frac{1}{2} and \frac{1}{4} to fractions with denominator 4.

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

Since -\frac{2}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 1 from -2 to get -3.

$$-\frac{3}{4}$$

Factor

$$-\frac{3}{4} = -0.75$$