Đáp án+Giải thích các bước giải:

 `\frac{30.4^{7}.3^{29}-5.14^{5}.2^{12}}{54.6^{14}.9^{2}-12.8^{5}.7^{5}}`

`=\frac{5.2.3.(2^{2})^{7}.3^{39}-5.(2.7)^{5}.2^{12}}{2.3^{3}.(2.3)^{14}.(3^{2})^{2}-2^{2}.3.(2^{3})^{5}.7^{5}}`

`=\frac{5.2^{15}.3^{30}-5.2^{5}.7^{5}.2^{12}}{2.3^{3}.2^{14}.3^{14}.3^{4}-2^{2}.3.2^{15}.7^{5}}`

`=\frac{5.2^{15}.3^{30}-5.2^{17}.7^{5}}{2^{15}.3^{21}-2^{17}.3.7^{5}}`

`=\frac{5.2^{15}.(3^{30}-2^{2}.7^{5})}{2^{15}.(3^{21}-2^{2}.3.7^{5})}`

`=\frac{5.(3^{30}-2^{2}.7^{5})}{3^{21}-2^{2}.3.7^{5}}`