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\left(\frac{4}{5}\times \frac{3}{2}\right)^{2}
Divide \frac{4}{5} by \frac{2}{3} by multiplying \frac{4}{5} by the reciprocal of \frac{2}{3}.
\left(\frac{6}{5}\right)^{2}
Multiply \frac{4}{5} and \frac{3}{2} to get \frac{6}{5}.
\frac{36}{25}
Calculate \frac{6}{5} to the power of 2 and get \frac{36}{25}.