
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 $x^{-1/3}$ equals?
**A)** $2^{-324}$  
**B)** $2^{-350}$  
**C)** $2^{-341.\overline{3}}$  
**D)** $2^{-300}$  
**E)** $2^{-360}$

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