$$\frac{(2x^{3})^{3}}{8x^{3}}=\_$$
$x^{6}$
$$\left(2x^{3}\right)^{3}\times \frac{1}{8x^{3}}$$
$$2^{3}\left(x^{3}\right)^{3}\times \frac{1}{8}\times \frac{1}{x^{3}}$$
$$2^{3}\times \frac{1}{8}\left(x^{3}\right)^{3}\times \frac{1}{x^{3}}$$
$$2^{3}\times \frac{1}{8}x^{3\times 3}x^{3\left(-1\right)}$$
$$2^{3}\times \frac{1}{8}x^{9}x^{3\left(-1\right)}$$
$$2^{3}\times \frac{1}{8}x^{9}x^{-3}$$
$$2^{3}\times \frac{1}{8}x^{9-3}$$
$$2^{3}\times \frac{1}{8}x^{6}$$
$$8\times \frac{1}{8}x^{6}$$
$$x^{6}$$
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