$$( \frac { 2 } { 3 } x y ) \times ( \frac { - 9 } { 10 } x ^ { 2 } y ^ { 2 } )$$
$-\frac{3\left(xy\right)^{3}}{5}$
$$\left(\frac{2}{3}\right)^{1}x^{1}y^{1}\left(-\frac{9}{10}\right)^{1}x^{2}y^{2}$$
$$\left(\frac{2}{3}\right)^{1}\left(-\frac{9}{10}\right)^{1}x^{1}x^{2}y^{1}y^{2}$$
$$\left(\frac{2}{3}\right)^{1}\left(-\frac{9}{10}\right)^{1}x^{1+2}y^{1+2}$$
$$\left(\frac{2}{3}\right)^{1}\left(-\frac{9}{10}\right)^{1}x^{3}y^{1+2}$$
$$\left(\frac{2}{3}\right)^{1}\left(-\frac{9}{10}\right)^{1}x^{3}y^{3}$$
$$-\frac{3}{5}x^{3}y^{3}$$
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$-\frac{9x^{2}y^{3}}{5}$
