Answer:
[tex]\frac{56x^{9} }{y^{15} }[/tex]
Step-by-step explanation:
Given: [tex]\frac{28x^{4} y}{y^{7} }[/tex] divided by [tex]\frac{y^{9} }{2x^{5} }[/tex].
i.e [tex]\frac{28x^{4} y}{y^{7} }[/tex] ÷ [tex]\frac{y^{9} }{2x^{5} }[/tex]
= [tex]\frac{28x^{4} }{y^{6} }[/tex] x [tex]\frac{2x^{5} }{y^{9} }[/tex]
= [tex]\frac{56x^{9} }{y^{15} }[/tex]
The quotient of the given two fractions in the question is thus [tex]\frac{56x^{9} }{y^{15} }[/tex].