[tex]a) \frac{ {5}^{4} \times {7}^{3} \times {11}^{4} }{ {5}^{6} \times 7 \times {11}^{3} } = {5}^{4 - 6} \times {7}^{3 - 1} \times {11}^{4 - 3} = {5}^{ - 2} \times {7}^{2} \times {11}^{1} = \frac{1}{ {5}^{2} } \times {7}^{2} \times {11}^{1} = \frac{1}{25} \times 49 \times 11 = \frac{539}{25} \\ \\ b) \frac{3a + 6b}{5a + 10b} = \frac{3(a + 2b)}{5(a + 2b)} = \frac{3}{5} [/tex]
