\[\frac{2^{9} \cdot 5^{14}}{50^{7}} = \frac{2^{9} \cdot 5^{14}}{25^{7} \cdot 2^{7}} = \frac{2^{2} \cdot 5^{14}}{5^{14}} =\]
\[= 2^{2} = 4\]