
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 quadrupling the exponent of \(a^b\), where \(b\) does not equal \(0\). If \(r\) equals the product of \(a^b\) by \(y^b\), find \(y\).
**A)** \(27a^3\)  
**B)** \(81a^2\)  
**C)** \(81a^3\)  
**D)** \(243a^3\)  
**E)** \(729a^3\)

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