Question

Simplify the following

`(4ab^2(-5ab^3))/(10a^2b^2)`

Answer 1

`(4ab^2(-5ab^3))/(10a^2b^2)`

`=(4xxaxxb^2xx(-5)xxaxxb^3)/(10a^2b^2)`

`=(-20xxa^1xxa^1xxb^2xxb^3)/(10a^2b^2)`

`=(-20xxa^(1+1)xxb^(2+3))/(10a^2b^2)`

`=-2xxa^2xxb^5xxa^-2xxb^-2`

`=-2xxa^(2+(-2))xxb^(5+(-2))`

`=-2xxa^0xxb^3`

`=-2b^3`