
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
Real numbers \(x\) and \(y\) satisfy the equations \(2^x = 16^{y+1}\) and \(64^y = 4^{x-2}\). What is \(xy\)?

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