((5^(3/5) * 11^(7/11))^55)/55^33

$\frac{(( {5}^{ \frac{3}{5} } \times {11}^{ \frac{7}{11} } )^{55} }{ {55}^{33} } = \\ = \frac{ {5}^{ \frac{3}{5} \times 55} \times {11}^{ \frac{7}{11} \times 55 } }{ {55}^{33} } = \\ = \frac{ {5}^{33} \times {11}^{35} }{ {55}^{33} } = \\ = \frac{ {5}^{33} \times {11}^{33} \times {11}^{2} }{ {55}^{33} } = \\ = \frac{ {(5 \times 11)}^{33} \times {11}^{2} }{ {55}^{33} } = \\ = \frac{{55}^{33} \times {11}^{2} }{{55}^{33}} = {11}^{2} = 121$

Ответ: 121