$$( \frac { 7 } { 9 } x y ^ { 4 } ) \times ( - \frac { 18 } { 14 } x ^ { 4 } y )$$
$-\left(xy\right)^{5}$
$$\left(\frac{7}{9}\right)^{1}x^{1}y^{4}\left(-\frac{9}{7}\right)^{1}x^{4}y^{1}$$
$$\left(\frac{7}{9}\right)^{1}\left(-\frac{9}{7}\right)^{1}x^{1}x^{4}y^{4}y^{1}$$
$$\left(\frac{7}{9}\right)^{1}\left(-\frac{9}{7}\right)^{1}x^{1+4}y^{4+1}$$
$$\left(\frac{7}{9}\right)^{1}\left(-\frac{9}{7}\right)^{1}x^{5}y^{4+1}$$
$$\left(\frac{7}{9}\right)^{1}\left(-\frac{9}{7}\right)^{1}x^{5}y^{5}$$
$$-x^{5}y^{5}$$
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$-5x^{4}y^{5}$
