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\frac{4}{9}\times 4^{\frac{3}{2}}-4
Calculate \frac{2}{3} to the power of 2 and get \frac{4}{9}.
\frac{4}{9}\times 8-4
Calculate 4 to the power of \frac{3}{2} and get 8.
\frac{32}{9}-4
Multiply \frac{4}{9} and 8 to get \frac{32}{9}.
-\frac{4}{9}
Subtract 4 from \frac{32}{9} to get -\frac{4}{9}.