
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
From among \(4^{1/4}, 27^{1/3}, 16^{1/8}, \sqrt{81}\), determine which have the greatest and the next to the greatest values, in that order.
A) \(27^{1/3}, \sqrt{81}\)
B) \(4^{1/4}, 16^{1/8}\)
C) \(16^{1/8}, 27^{1/3}\)
D) \(\sqrt{81}, 27^{1/3}\) 
E) None of these

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