\[\frac{\left( 2^{5} \right)^{2} \bullet 3^{10}}{6^{7}} = \frac{2^{10} \bullet 3^{10}}{2^{7} \bullet 3^{7}} =\]
\[= 2³ \bullet 3^{3} = 8 \bullet 27 = 216.\]