$$\frac { m ^ { \frac { 11 } { 14 } } \cdot m ^ { \frac { 1 } { 6 } } } { m ^ { - \frac { 5 } { 7 } } }$$
$\frac{5m^{\frac{2}{3}}}{3}$
$$\frac{\mathrm{d}}{\mathrm{d}m}(\frac{m^{\frac{20}{21}}}{m^{-\frac{5}{7}}})$$
$$\frac{\mathrm{d}}{\mathrm{d}m}(m^{\frac{5}{3}})$$
$$\frac{5}{3}m^{\frac{5}{3}-1}$$
$$\frac{5}{3}m^{\frac{2}{3}}$$
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$m^{\frac{5}{3}}$
