Simplify the following (ii)`(3a^4b^3)(18 a^3b^5)` (ii) `(3a^7b^6)/(18 a^6b^8)` `((-2a^2)/(b^3))^3`

Explanation

Solution:
`(1).(3a^(4)b^3)(18a^(3)b^5 )`
`=3 xx 18 xx a^4 xx b^3 xx a^3 xx b^5`
`=54a^7 b^8`
`(2).(3a^7b^6)/(18 a^6b^8) xx ((-2a^2)/(b^3))^3`
`3/18 xx a^7/a^6 xx b^6/b^8 xx (-2)^(3) xx (a^2)^(b) xx (1/b^3)^3`
`=1/6 xx a^(7-6) xx b^(6-8) xx (-8) xx a^(2 xx 3) xx (1/b^3)^3`
`=1/6 xx a^1 xx b^-2 xx (-8) xx a^6 xx 1/b^9`
`=-8/6 xx a xx b^-2 xx a^6 xx b^-9`
`=-4/3 xx a^(1+6) xx b^(-2-9)`
`=4/3 xx a^7 xx b^-11`
Hence values are obtained.