
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
\[
\left(\frac{(a+b)^{-n / 4} \cdot c^{1 / 2}}{a^{2-n} b^{-3 / 4}}\right)^{4 / 3} \div \left(\frac{b^{3} c^{4}}{(a+b)^{2 n} a^{16-8 n}}\right)^{1 / 6} \text{; where } b=0.04.
\]

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