$$-2a\times(-9a^{2})$$
$18a^{3}$
$$-2a^{3}\left(-9\right)$$
$$18a^{3}$$
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$54a^{2}$
$$\frac{\mathrm{d}}{\mathrm{d}a}(-2a^{3}\left(-9\right))$$
$$\frac{\mathrm{d}}{\mathrm{d}a}(18a^{3})$$
$$3\times 18a^{3-1}$$
$$54a^{3-1}$$
$$54a^{2}$$