`1) A = 3^18 : 5^15`
` = (3^6)^3 : (5^5)^3`
` = (3^6 : 5^5)^3`
`2) B = (3^9)^2 : 3^16`
` = 3^18 : 3^16`
` = 3^2`
` = 9`
`3) E = (2^10 . 3^8)/(3^6 . 2^9)`
` = (2 . 3^2)/1`
` = 18`
`4) H = (8^2 . 9^5)/(3^9 . 4^3)`
` = ((2^3)^2 . (3^2)^5)/(3^9 . (2^2)^3)`
` = (2^6 . 3^10)/(3^9 . 2^6)`
` = 3`
`5) C = (2^11 . 9^2)/(3^5 . 2^8)`
` = (2^11 . (3^2)^2)/(3^5 . 2^8)`
` = (2^11 . 3^4)/(3^5 . 2^8)`
` = (2^3 . 1)/3`
` = 8/3`
`6) D = (2^6 . 4^7)/(2^20)`
` = (2^6 . 2^14)/(2^20)`
` = (2^20)/(2^20)`
` = 1`
`7) F = (9^8)/(3^12 . 3^2)`
` = (3^16)/(3^14)`
` = 3^2`
` = 9`
`8) G = (8^3 . 8^2)/(2^10)`
` = (8^5)/(2^10)`
` = ((2^3)^5)/(2^10)`
` = 2^5`
` = 32`