
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
Given the expression $2^{-(2k+1)} + 2^{-(2k-1)} - 2^{-2k} + 2^{-(2k+2)}$, for integer $k$, simplify the expression fully.
A) $-\frac{7}{4}2^{-2k}$  
B) $\frac{7}{4}2^{-2k}$  
C) $2^{-2k}$  
D) $0$

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