
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
Given a constant $a \gt 0$, the graph of the function $f(x)=\frac{2^x}{{{2^x}+ax}}$ passes through the points $P(p,\frac{6}{5})$ and $Q(q,-\frac{1}{5})$. If $2^{p+q}=16pq$, then $a=$____

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