7 2⁹⋅12¹¹ 24⁹

7. $$\frac{2^9 \cdot 12^{11}}{24^9} = \frac{2^9 \cdot (2^2 \cdot 3)^{11}}{(2^3 \cdot 3)^9} = \frac{2^9 \cdot 2^{22} \cdot 3^{11}}{2^{27} \cdot 3^9} = \frac{2^{31} \cdot 3^{11}}{2^{27} \cdot 3^9} = 2^{31-27} \cdot 3^{11-9} = 2^4 \cdot 3^2 = 16 \cdot 9 = 144 $$.

Ответ: 144