$$\frac{3a^{20}}{27a^{13}}$$
$\frac{a^{7}}{9}$
$$\left(3a^{20}\right)^{1}\times \frac{1}{27a^{13}}$$
$$3^{1}\left(a^{20}\right)^{1}\times \frac{1}{27}\times \frac{1}{a^{13}}$$
$$3^{1}\times \frac{1}{27}\left(a^{20}\right)^{1}\times \frac{1}{a^{13}}$$
$$3^{1}\times \frac{1}{27}a^{20}a^{13\left(-1\right)}$$
$$3^{1}\times \frac{1}{27}a^{20}a^{-13}$$
$$3^{1}\times \frac{1}{27}a^{20-13}$$
$$3^{1}\times \frac{1}{27}a^{7}$$
$$3\times \frac{1}{27}a^{7}$$
$$\frac{1}{9}a^{7}$$
$$\frac{3^{1}a^{20}}{27^{1}a^{13}}$$
$$\frac{3^{1}a^{20-13}}{27^{1}}$$
$$\frac{3^{1}a^{7}}{27^{1}}$$
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$\frac{7a^{6}}{9}$
$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{3}{27}a^{20-13})$$
$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{1}{9}a^{7})$$
$$7\times \frac{1}{9}a^{7-1}$$
$$\frac{7}{9}a^{6}$$
