Answer :
[tex]11^{x-y}[/tex]
Explanation
when you have a division of integers, with exponents,do:
[tex]\frac{a^m}{a^n}=a^{m-n}[/tex]Step 1
Let
a=11
m=x
n=y
Step 2
replace
[tex]\begin{gathered} \frac{a^m}{a^n}=a^{m-n} \\ \frac{11^x}{11^y}=11^{x-y} \end{gathered}[/tex]