Question

How do you simplify `(12a^2bx)/(30ax^2)`?

Answer 1

`=color(blue)((2ab)/(5x)`

Explanation:

`(12a^2bx)/(30ax^2)`

`=((12b)a^2x)/((30)ax^2)`

• property: `color(blue)(a^m/a^n=a^(m-n)`

Applying this property to the exponents of `a` and `x` we get:

`((12b)/30) * color(blue)(a^((2-1)) * x^((1-2))`

`=((12b)/30) * color(blue)(a^1x^-1`

• property: `color(blue)(a^-1 = 1/a`

`=(12ab)/(30x)`

`=color(blue)((2ab)/(5x)`