11) 12√m∙m / ⁶√m при m>0

11) Упростим выражение:

$$\frac{12\sqrt{m} \cdot m}{\sqrt[6]{m}} = \frac{12m^{\frac{1}{2}} \cdot m}{m^{\frac{1}{6}}} = \frac{12m^{\frac{3}{2}}}{m^{\frac{1}{6}}} = 12m^{\frac{3}{2} - \frac{1}{6}} = 12m^{\frac{9}{6} - \frac{1}{6}} = 12m^{\frac{8}{6}} = 12m^{\frac{4}{3}} = 12 \cdot \sqrt[3]{m^4} = 12 \cdot \sqrt[3]{m^3 \cdot m} = 12m\sqrt[3]{m}$$

Ответ: $$12m\sqrt[3]{m}$$