
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
Simplify the expression $\left[ \sqrt [4]{\sqrt [8]{b^{16}}} \right]^2\left[ \sqrt [8]{\sqrt [4]{b^{16}}} \right]^2$.
**A)** \( b \)  
**B)** \( b^2 \)  
**C)** \( b^4 \)  
**D)** \( b^8 \)

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