`A=(4^6·9^5+6^9·120)/(8^4·3^12-6^11)`

`A=((2^2)^6·(3^2)^5+2^9·3^9·2^3·3·5)/((2^3)^4·3^12-2^11·3^11)`

`A=(2^12·3^10+2^12·3^10·5)/(2^12·3^12-2^11·3^11)`

`A=(2^12·3^10(1+1·5))/(2^11·3^11(2·3-1))`

`A=(2^12·3^10·6)/(2^11·3^11·5)`

`A=(2^12·3^10·2·3)/(2^11·3^11·5)`

`A=(2^13·3^11)/(2^11·3^11·5)`

`A=(2^2)/5`

`A=4/5`