
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
Evaluate the following expression: 
\[
\frac{4^{1001} \cdot 9^{1002}}{6^{1002} \cdot 4^{1000}}
\]
A) $\frac{3^{1000}}{2^{1002}}$
B) $\frac{3^{1002}}{2^{1000}}$
C) $\frac{2^{1002}}{3^{1000}}$
D) $3^{1002} \cdot 2^{1000}$

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