Solve [1/2-(-1/6)]^2=

$$[ \frac { 1 } { 2 } - ( - \frac { 1 } { 6 } ) ] ^ { 2 } =$$

Evaluate

$$\frac{4}{9}\approx 0.444444444$$

Solution Steps

The opposite of -\frac{1}{6} is \frac{1}{6}.

$$\left(\frac{1}{2}+\frac{1}{6}\right)^{2}$$

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

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

Calculate \frac{2}{3} to the power of 2 and get \frac{4}{9}.

$$\frac{4}{9}$$

Factor

$$\frac{2 ^ {2}}{3 ^ {2}} = 0.4444444444444444$$