$$\frac { ( 8 x ^ { 3 } y ^ { 6 } ) ^ { 1 / 3 } } { ( 625 x ^ { 8 } y ^ { 12 } ) ^ { 1 / 4 } }$$
$\frac{2y^{2}}{5x\left(|y|\right)^{3}}$
$$\frac{8^{\frac{1}{3}}\left(x^{3}\right)^{\frac{1}{3}}\left(y^{6}\right)^{\frac{1}{3}}}{\left(625x^{8}y^{12}\right)^{\frac{1}{4}}}$$
$$\frac{8^{\frac{1}{3}}x^{1}\left(y^{6}\right)^{\frac{1}{3}}}{\left(625x^{8}y^{12}\right)^{\frac{1}{4}}}$$
$$\frac{8^{\frac{1}{3}}x^{1}y^{2}}{\left(625x^{8}y^{12}\right)^{\frac{1}{4}}}$$
$$\frac{2x^{1}y^{2}}{\left(625x^{8}y^{12}\right)^{\frac{1}{4}}}$$
$$\frac{2xy^{2}}{\left(625x^{8}y^{12}\right)^{\frac{1}{4}}}$$
$$\frac{2xy^{2}}{625^{\frac{1}{4}}\left(x^{8}\right)^{\frac{1}{4}}\left(y^{12}\right)^{\frac{1}{4}}}$$
$$\frac{2xy^{2}}{625^{\frac{1}{4}}x^{2}\left(y^{12}\right)^{\frac{1}{4}}}$$
$$\frac{2xy^{2}}{625^{\frac{1}{4}}x^{2}y^{3}}$$
$$\frac{2xy^{2}}{5x^{2}y^{3}}$$
$$\frac{2}{5xy}$$
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$-\frac{2\times \left(\frac{y}{x}\right)^{2}}{5\left(|y|\right)^{3}}$
