Question

How do you simplify `\frac { x ^ { 4} y ^ { 5} } { x ^ { 2} y ^ { 2} } =`?

Answer 1

`x^2y^3`

Explanation:

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

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

The fraction can be ' split up' as follows.

`(x^4y^5)/(x^2y^2)=x^4/x^2xxy^5/y^2`

`color(white)(xxxx)=x^((4-2))xxy^((5-2))=x^2y^3`