
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
Let $a > b > 0$, evaluate $\frac{a^{2b} b^{3a}}{b^{2b} a^{3a}}$.
A) $\left(\frac{a}{b}\right)^{3a-2b}$
B) $\left(\frac{b}{a}\right)^{2b-3a}$
C) $\left(\frac{a}{b}\right)^{2b-3a}$
D) $(a-b)^{2b/a}$
E) $\left(\frac{b}{a}\right)^{3a-2b}$

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