Ответ:

[tex] \frac{ {8}^{4} \times {49}^{4} }{ {14}^{7} } = \frac{( {2}^{3})^{4} \times ( {7}^{2} )^{4} }{(2 \times 7 {)}^{7} } = \frac{ {2}^{12} \times {7}^{8} }{ {2}^{7} \times {7}^{7} } = \\ = {2}^{12 - 7} \times {7}^{8 - 7} = {2}^{5} \times 7 = 32 \times 7 = 224[/tex]