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

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

Evaluate

$$\frac{31}{4}=7.75$$

Solution Steps

Calculate 2 to the power of 3 and get 8.

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

Calculate -\frac{1}{2} to the power of 2 and get \frac{1}{4}.

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

Convert 8 to fraction \frac{32}{4}.

$$\frac{32}{4}-\frac{1}{4}$$

Since \frac{32}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{32-1}{4}$$

Subtract 1 from 32 to get 31.

$$\frac{31}{4}$$

Factor

$$\frac{31}{2 ^ {2}} = 7\frac{3}{4} = 7.75$$