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

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

Evaluate

$$-\frac{3}{2}=-1.5$$

Solution Steps

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

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

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

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

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

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

Divide -\frac{2}{3} by \frac{4}{9} by multiplying -\frac{2}{3} by the reciprocal of \frac{4}{9}.

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

Multiply -\frac{2}{3} and \frac{9}{4} to get -\frac{3}{2}.

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

Factor

$$-\frac{3}{2} = -1\frac{1}{2} = -1.5$$