
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
Evaluate:  
(1) $(2 \frac {7}{9})^{ \frac {1}{2}}-(2 \sqrt {3}-\pi)^0-(2 \frac {10}{27})^{- \frac {2}{3}}+0.25^{- \frac {3}{2}}$;  
(2) Given $0<x<1$, and $x+x^{-1}=3$, find $x^{ \frac {1}{2}}-x^{- \frac {1}{2}}$.

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