$$\frac{125\times5^{2}\times a^{7}}{10^{3}\times a^{4}}$$
$\frac{25a^{3}}{8}$
$$\frac{125\times 5^{2}a^{3}}{10^{3}}$$
$$\frac{125\times 25a^{3}}{10^{3}}$$
$$\frac{3125a^{3}}{10^{3}}$$
$$\frac{3125a^{3}}{1000}$$
$$\frac{25}{8}a^{3}$$
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$\frac{75a^{2}}{8}$
$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{125\times 5^{2}a^{3}}{10^{3}})$$
$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{125\times 25a^{3}}{10^{3}})$$
$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{3125a^{3}}{10^{3}})$$
$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{3125a^{3}}{1000})$$
$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{25}{8}a^{3})$$
$$3\times \frac{25}{8}a^{3-1}$$
$$\frac{75}{8}a^{3-1}$$
$$\frac{75}{8}a^{2}$$
