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\frac{8}{27}-\frac{1}{9}\sqrt[3]{\frac{8}{27}}
Calculate \frac{2}{3} to the power of 3 and get \frac{8}{27}.
\frac{8}{27}-\frac{1}{9}\times \frac{2}{3}
Calculate \sqrt[3]{\frac{8}{27}} and get \frac{2}{3}.
\frac{8}{27}-\frac{2}{27}
Multiply -\frac{1}{9} and \frac{2}{3} to get -\frac{2}{27}.
\frac{2}{9}
Subtract \frac{2}{27} from \frac{8}{27} to get \frac{2}{9}.