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\left(\frac{2}{5}\times \frac{3}{2}\right)^{2}
Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.
\left(\frac{3}{5}\right)^{2}
Multiply \frac{2}{5} and \frac{3}{2} to get \frac{3}{5}.
\frac{9}{25}
Calculate \frac{3}{5} to the power of 2 and get \frac{9}{25}.