Question

How do you simplify `(14x^2y)/(-7x^3y^4)`?

Answer 1

`-2/(xy^3)`

Explanation:

`\mathtt{\frac{14x^2y}{-7x^3y^4}=\frac{2\cdot1\cdot1}{-1xy^3}=\frac{2}{-xy^3}`

Answer 2

`2/(-xy^3`

Explanation:

Answer 3

`=-2/(xy^3`

Explanation:

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

`color(red)(bar(ul(|color(white)(2/2)color(black)(a^m/a^n=a^(m-n)=1/(a^(n-m)))color(white)(2/2)|)))`

`rArr(14x^2y)/(-7x^3y^4)`

Separating the terms and expressing as a product.

`=14/(-7)xx(x^2)/(x^3)xxy^1/y^4`

`=-2xx1/x^((3-2))xx1/y^((4-1))`

`=-2/(xy^3)`