
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 expression $2^{-(3k+2)} - 3^{-(2k+1)} - 2^{-(3k)} + 3^{-2k}$.
**A)** $\frac{-9 \cdot 2^{-3k} + 8 \cdot 3^{-2k}}{12}$  
**B)** $-2^{-(3k+2)}$  
**C)** $3^{-(2k+1)}$  
**D)** $0$  
**E)** $2^{-(3k)} - 3^{-2k}$

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