Simplify the Expression: (a^xy)/(a^3xy) - a^2xy Using Power Rules

Keep in mind that in the question there is a fraction containing identical terms in its numerator and denominator. Therefore, we can use the distributive property of division to solve the exercise:

$\frac{c^m}{c^n}=c^{m-n}$
We apply this to our problem and simplify the first term:

$\frac{a^{xy}}{a^{3xy}}-a^{2xy}=a^{xy-3xy}-a^{2xy}=a^{-2xy}-a^{2xy}$

In the second step, calculate the result of the subtraction operation in the exponent to obtain:

$a^{-2xy}-a^{2xy}$

Therefore, the correct answer is D.