$$16a^{3}\cdot\frac{128}{b^{3}}$$
$2048\times \left(\frac{a}{b}\right)^{3}$
$$\frac{16\times 128}{b^{3}}a^{3}$$
$$\frac{2048}{b^{3}}a^{3}$$
$$\frac{2048a^{3}}{b^{3}}$$
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$\frac{6144a^{2}}{b^{3}}$
