Solve 1/2-(-1/2)^3

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

Evaluate

$$\frac{5}{8}=0.625$$

Solution Steps

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

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

The opposite of -\frac{1}{8} is \frac{1}{8}.

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

Least common multiple of 2 and 8 is 8. Convert \frac{1}{2} and \frac{1}{8} to fractions with denominator 8.

$$\frac{4}{8}+\frac{1}{8}$$

Since \frac{4}{8} and \frac{1}{8} have the same denominator, add them by adding their numerators.

$$\frac{4+1}{8}$$

Add 4 and 1 to get 5.

$$\frac{5}{8}$$

Factor

$$\frac{5}{2 ^ {3}} = 0.625$$