Question

How do you simplify `(6ab^3c^4)(-3a^2b^3c)`?

Answer 1

`-18a^3b^6c^5`

Explanation:

Using the `color(blue)"law of exponents"`

`color(orange)"Reminder " color(red)(bar(ul(|color(white)(2/2)color(black)(a^mxxa^n=a^(m+n))color(white)(2/2)|)))`

`rArr(6ab^3c^4)(-3a^2b^3c)`

`=(6xx-3)xx(a^1xxa^2)xx(b^3xxb^3)xx(c^4xxc^1)`

`=-18xxa^((1+2))xxb^((3+3))xxc^((4+1))`

`=-18xxa^3xxb^6xxc^5`

`=-18a^3b^6c^5`