
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 obtained when the base of $a^b$ is tripled and the exponent is doubled, where $a,b>0$. Determine the value of $y$ if $s$ equals the product of $a^{2b}$ and $y^b$, and $y>0$.
A) 3  
B) 9  
C) 27  
D) 81

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