Solve (-1)^3+(-1/2)-(-3/2)^0*(-2/3)

$$( - 1 ) ^ { 3 } + ( - \frac { 1 } { 2 } ) - ( - \frac { 3 } { 2 } ) ^ { 0 } \times ( - \frac { 2 } { 3 } )$$

Evaluate

$$-\frac{5}{6}\approx -0.833333333$$

Solution Steps

Calculate -1 to the power of 3 and get -1.

$$-1-\frac{1}{2}-\left(-\frac{3}{2}\right)^{0}\left(-\frac{2}{3}\right)$$

Subtract \frac{1}{2} from -1 to get -\frac{3}{2}.

$$-\frac{3}{2}-\left(-\frac{3}{2}\right)^{0}\left(-\frac{2}{3}\right)$$

Calculate -\frac{3}{2} to the power of 0 and get 1.

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

Multiply 1 and -\frac{2}{3} to get -\frac{2}{3}.

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

The opposite of -\frac{2}{3} is \frac{2}{3}.

$$-\frac{3}{2}+\frac{2}{3}$$

Add -\frac{3}{2} and \frac{2}{3} to get -\frac{5}{6}.

$$-\frac{5}{6}$$

Factor

$$-\frac{5}{6} = -0.8333333333333334$$