
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
Calculate the value of the following expression for integer $k$: $2^{-3k}-2^{-(3k-2)}+2^{-(3k+2)}$.
**A)** $-\frac{2}{3} \times 2^{-3k}$  
**B)** $-\frac{1}{3} \times 2^{-3k}$  
**C)** $-2^{-3k}$  
**D)** $-\frac{11}{4} \times 2^{-3k}$

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