
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
If $\log_5 \Big(\log_4 (\log_2 x) \Big) = 1$, then what is the value of $x^{-1/3}$?
A) $2^{-341}$  
B) $2^{-\frac{1024}{3}}$  
C) $2^{-\frac{2056}{3}}$  
D) $2^{-\frac{1024}{2}}$  
E) None of these

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