Answer
$5^{9}$
Work Step by Step
To solve this
$5^{2}$ $\times$ $5^{x}$ = $5^{11}$
$5^{x}$ = $\frac{5^{11}}{5^{2}}$
$5^{x}$ = $5^{11-2}$
$5^{x}$ = $5^{9}$ --> same base, bring the exponents down
x=9
Therefore the missing part is $5^{9}$.