Ответ:

[tex] \frac{ {2}^{17} \times {3}^{6} }{ {24}^{5} } = \frac{ {2}^{17} \times {3}^{6} }{(8 \times 3 {)}^{5} } = \frac{ {2}^{17} \times {3}^{6} }{( {2}^{3} \times 3 {)}^{5} } = \frac{ {2}^{17} \times {3}^{6} }{ {2}^{15} \times {3}^{5} } = {2}^{17 - 15} \times {3}^{6 - 5} = {2}^{2} \times 3 = 4 \times 3 = 12[/tex]