
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 function $$f(x)= \frac {2}{x}-x^{m}$$, and $$f(4)=- \frac {7}{2}$$,  
(1) Find the value of $m$;  
(2) Determine the monotonicity of $f(x)$ on $(0, +\infty)$ and provide a proof.

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