$$(64x^{3}\div27a^{-3})^{-2/3}=?$$
$\frac{9\times \left(\frac{a}{x}\right)^{2}}{16}$
$$\left(\frac{64x^{3}a^{-3}}{27}\right)^{\frac{-2}{3}}$$
$$\left(\frac{64x^{3}a^{-3}}{27}\right)^{-\frac{2}{3}}$$
$$\frac{\left(64x^{3}a^{-3}\right)^{-\frac{2}{3}}}{27^{-\frac{2}{3}}}$$
$$\frac{64^{-\frac{2}{3}}\left(x^{3}\right)^{-\frac{2}{3}}\left(a^{-3}\right)^{-\frac{2}{3}}}{27^{-\frac{2}{3}}}$$
$$\frac{64^{-\frac{2}{3}}x^{-2}\left(a^{-3}\right)^{-\frac{2}{3}}}{27^{-\frac{2}{3}}}$$
$$\frac{64^{-\frac{2}{3}}x^{-2}a^{2}}{27^{-\frac{2}{3}}}$$
$$\frac{\frac{1}{16}x^{-2}a^{2}}{27^{-\frac{2}{3}}}$$
$$\frac{\frac{1}{16}x^{-2}a^{2}}{\frac{1}{9}}$$
$$\frac{1}{16}x^{-2}a^{2}\times 9$$
$$\frac{9}{16}x^{-2}a^{2}$$
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$-\frac{9a^{2}}{8x^{3}}$
