
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 the following expression:
\\((1)(2 \frac {7}{9})^{ \frac {1}{2}}-(2 \sqrt {3}-π)^{0}-(2 \frac {10}{27})^{ -\frac {2}{3}}+0.25^{ -\frac {3}{2}}\\)
and find the value of \(x^{ \frac {1}{2}}-x^{ -\frac {1}{2}}\) given that \(0 < x < 1\) and \(x+x^{-1}=3\).

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