Solve -2^-3-1/4left(2/3--1+1/2right)

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

Evaluate

$$-\frac{2}{3}\approx -0.666666667$$

Solution Steps

Calculate -2 to the power of -3 and get -\frac{1}{8}.

$$-\frac{1}{8}-\frac{1}{4}\left(\frac{2}{3}-\left(-1\right)+\frac{1}{2}\right)$$

The opposite of -1 is 1.

$$-\frac{1}{8}-\frac{1}{4}\left(\frac{2}{3}+1+\frac{1}{2}\right)$$

Add \frac{2}{3} and 1 to get \frac{5}{3}.

$$-\frac{1}{8}-\frac{1}{4}\left(\frac{5}{3}+\frac{1}{2}\right)$$

Add \frac{5}{3} and \frac{1}{2} to get \frac{13}{6}.

$$-\frac{1}{8}-\frac{1}{4}\times \frac{13}{6}$$

Multiply \frac{1}{4} and \frac{13}{6} to get \frac{13}{24}.

$$-\frac{1}{8}-\frac{13}{24}$$

Subtract \frac{13}{24} from -\frac{1}{8} to get -\frac{2}{3}.

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

Factor

$$-\frac{2}{3} = -0.6666666666666666$$