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

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

Evaluate

$$4$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

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

Express -4\left(-\frac{1}{2}\right) as a single fraction.

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

Multiply -4 and -1 to get 4.

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

Divide 4 by 2 to get 2.

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

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

$$2+\frac{8}{4}$$

Divide 8 by 4 to get 2.

$$2+2$$

Add 2 and 2 to get 4.

$$4$$

Factor

$$2^{2}$$