\[\frac{a^{6} + 1}{a^{10} + a^{4}} = \frac{a^{6} + 1}{a^{4}(a^{6} + 1)} = \frac{1}{a^{4}}\]
\[a = 0,1:\]
\[\frac{1}{a^{4}} = \frac{1}{(0,1)^{4}} = \frac{1}{0,0001} = 10\ 000.\]
\[a = - \frac{1}{2}:\]
\[\frac{1}{a^{4}} = \frac{1}{\left( - \frac{1}{2} \right)^{4}} = \frac{1}{\frac{1}{16}} = 16.\]