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\frac{3}{2}\times 1-\frac{3}{2}\sqrt[3]{64}
Calculate \sqrt[3]{1} and get 1.
\frac{3}{2}-\frac{3}{2}\sqrt[3]{64}
Multiply \frac{3}{2} and 1 to get \frac{3}{2}.
\frac{3}{2}-\frac{3}{2}\times 4
Calculate \sqrt[3]{64} and get 4.
\frac{3}{2}-6
Multiply -\frac{3}{2} and 4 to get -6.
-\frac{9}{2}
Subtract 6 from \frac{3}{2} to get -\frac{9}{2}.