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

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

Evaluate

$$\frac{7}{4}=1.75$$

Solution Steps

Calculate 2 to the power of -2 and get \frac{1}{4}.

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

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

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

The opposite of -2 is 2.

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

Add -\frac{1}{4} and 2 to get \frac{7}{4}.

$$\frac{7}{4}+\frac{1}{3}+\left(-3\right)^{-1}$$

Add \frac{7}{4} and \frac{1}{3} to get \frac{25}{12}.

$$\frac{25}{12}+\left(-3\right)^{-1}$$

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

$$\frac{25}{12}-\frac{1}{3}$$

Subtract \frac{1}{3} from \frac{25}{12} to get \frac{7}{4}.

$$\frac{7}{4}$$

Factor

$$\frac{7}{2 ^ {2}} = 1\frac{3}{4} = 1.75$$