Question

a rectangle has a length of x3y4 inches and a width of xy7 inches . Which expression represents the ratio of the length of the rectangle to do width of the rectangle? (NEED HELP ASAP)

Answer 1

Answer:

A. x²/y³

Step-by-step explanation:

Given the following data;

Length = x³y⁴

Width = $xy^{7}$

Ratio = length/width

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

Simplifying the equation by applying the law of indices (division), we have;

$\frac{x^{3}}{x} = x^{3} - x^{1} = x^{3-1} = x^{2}$

$\frac{y^{4}}{y^{7}} = y^{4} - y^{7} = y^{4-7} = y^{-3}$

Hence, rearranging the above values;

$Ratio = \frac{x^{2}}{y^{3}}$

Therefore, the expression that represents the ratio of the length of the rectangle to the width of the rectangle is A. x²/y³.