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\sqrt[3]{1-\frac{19}{27}}
Divide 1 by 1 to get 1.
\sqrt[3]{\frac{8}{27}}
Subtract \frac{19}{27} from 1 to get \frac{8}{27}.
\frac{2}{3}
Calculate \sqrt[3]{\frac{8}{27}} and get \frac{2}{3}.