Answer:
[tex]Ratio = x^{2}y^{-3}[/tex]
Explanation:
Given
[tex]Length = x^3y^4[/tex]
[tex]Width = xy^7[/tex]
Required
Determine the ratio of the length to the width
The ratio is represented as:
[tex]Ratio = Length : Width[/tex]
Substitute values for Length and Width
[tex]Ratio = x^3y^4 : xy^7[/tex]
Convert ratio to fraction
[tex]Ratio = \frac{x^3y^4}{xy^7}[/tex]
Apply law of indices
[tex]Ratio = x^{3-1}y^{4-7}[/tex]
[tex]Ratio = x^{2}y^{-3}[/tex]
Hence, the calculated ratio of the length to the width is
[tex]Ratio = x^{2}y^{-3}[/tex]
