$$( \frac { 8 a ^ { 8 } b ^ { 2 } } { a ^ { 2 } b ^ { 5 } } ) ^ { \frac { 1 } { 3 } }$$
$\frac{2a^{2}}{b}$
$$\left(\frac{8a^{6}}{b^{3}}\right)^{\frac{1}{3}}$$
$$\frac{\left(8a^{6}\right)^{\frac{1}{3}}}{\left(b^{3}\right)^{\frac{1}{3}}}$$
$$\frac{\left(8a^{6}\right)^{\frac{1}{3}}}{b^{1}}$$
$$\frac{8^{\frac{1}{3}}\left(a^{6}\right)^{\frac{1}{3}}}{b^{1}}$$
$$\frac{8^{\frac{1}{3}}a^{2}}{b^{1}}$$
$$\frac{2a^{2}}{b^{1}}$$
$$\frac{2a^{2}}{b}$$
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$\frac{4a}{b}$