
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 the base and doubling the exponent of $a^b$, where $b$ does not equal to $0$. If $r$ equals the product of $a^b$ by $x^{2b}$, find $x$.
**A)** $3a \quad$ **B)** $3a^2 \quad$ **C)** $3\sqrt{a} \quad$ **D)** $9a \quad$ **E)** $a^3$

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