
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
If $\frac{8^{x}}{4^{x+y}}=16$ and $\frac{16^{x+y}}{4^{7y}}=1024$, find the value of $xy$.
A) 20  
B) 25  
C) 30  
D) 35

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