$$\frac{a^{3}\times b^{2}\times b^{3}\times a^{2}}{a^{2}\times b}$$
$a^{3}b^{4}$
$$\frac{a^{5}b^{2}b^{3}}{a^{2}b}$$
$$\frac{a^{5}b^{5}}{a^{2}b}$$
$$a^{3}b^{4}$$
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$3a^{2}b^{4}$
$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{a^{2}b^{2}b^{3}}{b}a^{3-2})$$
$$\frac{\mathrm{d}}{\mathrm{d}a}(a^{2}b^{4}a^{1})$$
$$a^{2}b^{4}a^{1-1}$$
$$a^{2}b^{4}a^{0}$$
$$a^{2}b^{4}\times 1$$
$$a^{2}b^{4}$$
