
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
Suppose $P = 2^m$ and $Q = 5^n$. Compute $(6^{m+n})$ in terms of $P$ and $Q$.
**A)** $P \cdot Q^{m+n}$
**B)** $P \cdot 2^n \cdot 3^{m+n}$
**C)** $P^2 \cdot Q^2$
**D)** $P^{m+n} \cdot Q^{m+n}$
**E)** $P^n \cdot Q^m$

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