
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 power function $$y=x^{m^{2}-2m-3} (m \in \mathbb{N}^*)$$ whose graph is symmetric about the y-axis and is a decreasing function on $(0, +\infty)$.

(1) Find the value of $m$;  
(2) Find the range of values for $a$ that satisfies $$(a+1)^{- \frac {m}{3}} < (3-2a)^{- \frac {m}{3}}.$$

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