Solve sqrt[3]{1/27-1/3}-(-2/3)^2

$$\sqrt[ 3 ] { \frac { 1 } { 27 } - \frac { 1 } { 3 } } - ( - \frac { 2 } { 3 } ) ^ { 2 }$$

Evaluate

$$-\frac{10}{9}\approx -1.111111111$$

Solution Steps

Subtract \frac{1}{3} from \frac{1}{27} to get -\frac{8}{27}.

$$\sqrt[3]{-\frac{8}{27}}-\left(-\frac{2}{3}\right)^{2}$$

Calculate \sqrt[3]{-\frac{8}{27}} and get -\frac{2}{3}.

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

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

$$-\frac{2}{3}-\frac{4}{9}$$

Subtract \frac{4}{9} from -\frac{2}{3} to get -\frac{10}{9}.

$$-\frac{10}{9}$$

Factor

$$-\frac{10}{9} = -1\frac{1}{9} = -1.1111111111111112$$