
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
If $x > y > 0$, evaluate the expression $\frac{x^{2y} y^{2x}}{y^{2y} x^{2x}}$.
A) $\left(\frac{x}{y}\right)^{x-y}$
B) $\left(\frac{x}{y}\right)^{y-x}$
C) $\left(\frac{x}{y}\right)^{2(x-y)}$
D) $\left(\frac{x}{y}\right)^{2(y-x)}$
E) $\left(\frac{x}{y}\right)^{(x+y)}$

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