
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 the binomial expression $(ax+ \frac {b}{x})^{n}$ where $a>0$, $b>0$, and $n \in \mathbb{N}^{*}$, let "the sum of all binomial coefficients" be denoted as $A$, "the sum of coefficients of all terms" as $B$, and "the value of the constant term" as $C$. If $A=B=256$ and $C=70$, determine the term containing $x^{-2}$ in the expansion.

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