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

Answer:

$Ratio = x^{2}y^{-3}$

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

$Ratio = \frac{x^3y^4}{xy^7}$

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

$Ratio = x^{2}y^{-3}$