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

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

Evaluate

$$\frac{7}{3}\approx 2.333333333$$

Solution Steps

Divide -2 by 2 to get -1.

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

Calculate -1 to the power of 2 and get 1.

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

Multiply 2 and -2 to get -4.

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

The opposite of -4 is 4.

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

Add 1 and 4 to get 5.

$$5+\frac{\left(-2\right)^{3}}{3}$$

Calculate -2 to the power of 3 and get -8.

$$5+\frac{-8}{3}$$

Fraction \frac{-8}{3} can be rewritten as -\frac{8}{3} by extracting the negative sign.

$$5-\frac{8}{3}$$

Subtract \frac{8}{3} from 5 to get \frac{7}{3}.

$$\frac{7}{3}$$

Factor

$$\frac{7}{3} = 2\frac{1}{3} = 2.3333333333333335$$