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

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

Evaluate

$$\frac{29}{18}\approx 1.611111111$$

Solution Steps

Calculate \frac{1}{3} to the power of 2 and get \frac{1}{9}.

$$\frac{1}{9}+\left(-2\right)^{-1}+\left(\frac{1}{2}\right)^{-1}$$

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

$$\frac{1}{9}-\frac{1}{2}+\left(\frac{1}{2}\right)^{-1}$$

Subtract \frac{1}{2} from \frac{1}{9} to get -\frac{7}{18}.

$$-\frac{7}{18}+\left(\frac{1}{2}\right)^{-1}$$

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

$$-\frac{7}{18}+2$$

Add -\frac{7}{18} and 2 to get \frac{29}{18}.

$$\frac{29}{18}$$

Factor

$$\frac{29}{2 \cdot 3 ^ {2}} = 1\frac{11}{18} = 1.6111111111111112$$