Question

a rectangle has a length of x^3y^4 inches and a width of xy^7 inches. which expression represents the ratio of the rectangle to the width of the rectangle

Answer 1

`Ratio = x^(2)y^(-3)`

Step-by-step explanation:

Given

`Length = x^3y^4`

`Width = xy^7`

Required

Determine the ratio of the length to the width

The ratio is represented as:

`Ratio = Length : Width`

Substitute values for Length and Width

`Ratio = x^3y^4 : xy^7`

Convert ratio to fraction

`Ratio = (x^3y^4)/(xy^7)`

Apply law of indices

`Ratio = x^(3-1)y^(4-7)`

`Ratio = x^(2)y^(-3)`

Hence, the calculated ratio of the length to the width is

`Ratio = x^(2)y^(-3)`