
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 $$( \sqrt {x}- \frac {2}{x^{2}})^{n}$$ (where $n\in\mathbb{N}^{*}$), the sum of the binomial coefficients in its expansion is 256.  
(1) Does this expansion contain a constant term? How many rational terms are there? Explain your reasoning.  
(2) Find the term with the smallest coefficient in the expansion.

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