$$\frac{7p^{2}x}{3py}\div\frac{14xy}{p^{3}}$$
$\frac{p^{4}}{6y^{2}}$
$$\frac{7p^{2}xp^{3}}{3py\times 14xy}$$
$$\frac{pp^{3}}{2\times 3yy}$$
$$\frac{p^{4}}{2\times 3yy}$$
$$\frac{p^{4}}{2\times 3y^{2}}$$
$$\frac{p^{4}}{6y^{2}}$$
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$\frac{2p^{3}}{3y^{2}}$