`( 12^3 . 121^2 . 5 - 22^4 . 3^3 )/( 75^2 . 11^4 - 30^2 . 11^5 )`
`=( ( 2^2 . 3 )^3 . ( 11^2 )^2 . 5 - ( 2 . 11 )^4 . 3^3 )/( ( 3 . 5^2 )^2 . 11^4 - ( 2 . 3 . 5 )^2 . 11^5 )`
`= ( 2^6 . 3^3 . 11^4 . 5 - 2^4 . 11^4 . 3^3 )/( 3^2 . 5^4 . 11^4 - 2^2 . 3^2 . 5^2 . 11^5 )`
`= ( 2^4 . 2^2 . 3^3 . 11^4 . 5 - 2^4 . 11^4 . 3^3 )/( 3^2 . 5^2 . 5^2 . 11^4 - 2^2 . 3^2 . 5^2 . 11^4 . 11 )`
`= ( 2^4 . 3^3 . 11^4 . ( 2^2 . 5 - 1 )/( 3^2 . 5^2 . 11^4 . ( 5^2 - 2^2 . 11 ) )`
`= ( 2^4 . 3 . ( 4 . 5 - 1 ) )/( 5^2 . ( 25 - 4 . 11 ) )`
`= ( 16 . 3 . ( 20 - 1 ) )/( 25 . ( 25 - 44 ) )`
`= ( 48 . 19 )/( 25 . ( - 19 ) )`
`= - 48/25`
