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\sqrt[3]{-3\times 9\times \frac{2}{3}\times 6}
Calculate -\frac{1}{3} to the power of -2 and get 9.
\sqrt[3]{-27\times \frac{2}{3}\times 6}
Multiply -3 and 9 to get -27.
\sqrt[3]{-18\times 6}
Multiply -27 and \frac{2}{3} to get -18.
\sqrt[3]{-108}
Multiply -18 and 6 to get -108.