Answer: OPTION C.
Step-by-step explanation:
Given the expression [tex]\frac{4x^4y^3}{-8x^2y }[/tex] you need to remember a property called "Quotient of powers property". This property states the following:
[tex]\frac{a^m}{a^n}=a^{(m-n)}[/tex]
Therefore, in order to reduce the given expression to lowest terms, it is necessary to apply this property. Once you apply it, you get:
[tex]\frac{4x^4y^3}{-8x^2y}=-\frac{x^{(4-2)}y^{(3-1)}}{2}=-\frac{1}{2}x^{2}y^{2}[/tex]
