$$( 8 a ^ { 3 } \div 27 x ^ { - 3 } ) ^ { - \frac { 2 } { 3 } }$$
$\frac{9\times \left(\frac{x}{a}\right)^{2}}{4}$
$$\left(\frac{8a^{3}x^{-3}}{27}\right)^{-\frac{2}{3}}$$
$$\frac{\left(8a^{3}x^{-3}\right)^{-\frac{2}{3}}}{27^{-\frac{2}{3}}}$$
$$\frac{8^{-\frac{2}{3}}\left(a^{3}\right)^{-\frac{2}{3}}\left(x^{-3}\right)^{-\frac{2}{3}}}{27^{-\frac{2}{3}}}$$
$$\frac{8^{-\frac{2}{3}}a^{-2}\left(x^{-3}\right)^{-\frac{2}{3}}}{27^{-\frac{2}{3}}}$$
$$\frac{8^{-\frac{2}{3}}a^{-2}x^{2}}{27^{-\frac{2}{3}}}$$
$$\frac{\frac{1}{4}a^{-2}x^{2}}{27^{-\frac{2}{3}}}$$
$$\frac{\frac{1}{4}a^{-2}x^{2}}{\frac{1}{9}}$$
$$\frac{1}{4}a^{-2}x^{2}\times 9$$
$$\frac{9}{4}a^{-2}x^{2}$$
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$\frac{9x}{2a^{2}}$
