\[\frac{\left( 7^{2} \right)^{7} \cdot \left( 7^{9} \right)^{4}}{\left( 7^{4} \right)^{13}} = \frac{7^{14} \cdot 7^{36}}{7^{52}} = \frac{1}{7^{2}} = \frac{1}{49}.\]