
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Consider $x > y > 0$. Evaluate the expression:
\[
\frac{(x^2)^y (y^3)^x}{(y^2)^y (x^3)^x}
\]
A) $x^{3x-2y} \cdot y^{2y-3x}$
B) $x^{2y-3x} \cdot y^{3x-2y}$
C) $1$
D) $\left(\frac{x}{y}\right)^{2x-3y}$
E) $\left(\frac{x}{y}\right)^{3y-2x}$

Present the answer in LaTex format: \boxed{Your answer}
user