
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
Let \(s\) be the number that results when both the base and the exponent of \(a^b\) are doubled, where \(a,b>0\). If \(s\) equals the product of \(a^b\) and \(x^3\) where \(x>0\), then \(x=\)
A) \(4a\)  
B) \(2^{2b/3} a^{b/3}\)  
C) \(\sqrt[3]{4a}\)  
D) \(\sqrt[3]{4^b a^b}\)  
E) \(4a^b\)

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