Solve (-2)^2(4-1/2)-7

$$( - 2 ) ^ { 2 } ( 4 - \frac { 1 } { 2 } ) - 7$$

Evaluate

$$7$$

Solution Steps

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

$$4\left(4-\frac{1}{2}\right)-7$$

Convert 4 to fraction \frac{8}{2}.

$$4\left(\frac{8}{2}-\frac{1}{2}\right)-7$$

Since \frac{8}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

$$4\times \frac{8-1}{2}-7$$

Subtract 1 from 8 to get 7.

$$4\times \frac{7}{2}-7$$

Express 4\times \frac{7}{2} as a single fraction.

$$\frac{4\times 7}{2}-7$$

Multiply 4 and 7 to get 28.

$$\frac{28}{2}-7$$

Divide 28 by 2 to get 14.

$$14-7$$

Subtract 7 from 14 to get 7.

$$7$$

Factor

$$7$$