\[\boxed{\mathbf{2.2}\mathbf{40}}\]
\[\textbf{а)}\ \frac{k^{\backslash 6}\ }{11} < \frac{13}{66}\]
\[\frac{6k}{66} < \frac{13}{66}\]
\[6k < 13\]
\[при\ k = 1;2.\]
\[\textbf{б)}\ \frac{k}{95} < \frac{2^{\backslash 5}}{19}\]
\[\frac{k}{95} < \frac{10}{95}\]
\[k < 10\]
\[при\ k = 1;2;3;4;5;6;7;8;9.\]
\[\textbf{в)}\ \frac{k^{\backslash 8}}{7} < \frac{8}{56}\]
\[\frac{k}{7} < \frac{1}{7}\]
\[k < 1\]
\[нет\ таких\ натуральных\ k.\]