
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 \(r\) be the result of tripling both the base and exponent of \(a^b\), and \(b\) does not equal to \(0\). If \(r\) equals the product of \(a^b\) by \(x^b\), then \(x\) equals:
**A)** \(9a^2\)  
**B)** \(27a\)  
**C)** \(81a\)  
**D)** \(27a^2\)  
**E)** \(81a^2\)

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