To simplify the expression \(5^5 \times 5^6\), we can use the property of exponents that states \(a^m \times a^n = a^{m+n}\).
Applying this property:
\[ 5^5 \times 5^6 = 5^{5+6} = 5^{11} \]
Thus, the simplified expression is:
\[ \boxed{5^{11}} \]