
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 result when the base and the exponent of $c^d$ are quadrupled, where $c,d>0$. If $s$ equals the product of $c^d$ and $y^d$ where $y>0$, then find $y$.
A) $64c^3$
B) $128c^3$
C) $256c^3$
D) $512c^3$

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