Simplify the expression completely: \( \frac{x^{28} \cdot y^{55}}{x^{11} \cdot y^{13}} \) Answer \( = \)

To simplify the expression \( \frac{x^{28} \cdot y^{55}}{x^{11} \cdot y^{13}} \), we can apply the laws of exponents. First, we simplify the \( x \) terms: \[ \frac{x^{28}}{x^{11}} = x^{28 - 11} = x^{17}. \] Next, we simplify the \( y \) terms: \[ \frac{y^{55}}{y^{13}} = y^{55 - 13} = y^{42}. \] Combining both results gives us: \[ \frac{x^{28} \cdot y^{55}}{x^{11} \cdot y^{13}} = x^{17} \cdot y^{42}. \] Thus, the fully simplified expression is: \[ \boxed{x^{17} \cdot y^{42}}. \]