\[ \left(y^{\frac{5}{3}}\right)^{\frac{7}{11}} \] Write your answer without parentheses. Assume that the variable represents a positive real number.

To simplify the expression \(\left(y^{\frac{5}{3}}\right)^{\frac{7}{11}}\), we apply the power of a power rule, which states that \((a^m)^n = a^{m \cdot n}\). So, we multiply the exponents: \[ y^{\frac{5}{3} \cdot \frac{7}{11}} = y^{\frac{5 \cdot 7}{3 \cdot 11}} = y^{\frac{35}{33}}. \] Thus, the simplified expression without parentheses is: \(y^{\frac{35}{33}}\).