If the rational expression $\frac{8 x^{9} y^{5}}{7 p^{6} q}$ represents the area of a rectangle and $\frac{7 x^{8} y^{3}}{p^{5}}$ represents the length of the rectangle, what rational expression represents the width?
A) $\frac{8 x^{17} y^{8}}{p^{11} q}$
B) $\frac{8 x y^{2}}{49 p q}$
C) $\frac{8 x^{17} y^{8}}{49 p^{11} q}$
D) $\frac{8 x y^{2}}{14 \mathrm{pq}}$

Question

Quizplus · Accepted Answer

To find the width, divide the area by the length: $\frac{8 x^{9} y^{5}}{7 p^{6} q} \div \frac{7 x^{8} y^{3}}{p^{5}} = \frac{8 x^{9} y^{5}}{7 p^{6} q} \times \frac{p^{5}}{7 x^{8} y^{3}} = \frac{8 x y^{2}}{49 p q}$.

If the Rational Expression 8x9y57p6q\frac{8 x^{9} y^{5}}{7 p^{6} q}7p6q8x9y5​ Represents the Area of a Rectangle And

If the Rational Expression $\frac{8 x^{9} y^{5}}{7 p^{6} q}$ Represents the Area of a Rectangle And