
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
Calculate the following expressions:
(1) $$0.027^{- \frac {1}{3}}-( \frac {1}{7})^{-2}+(2 \frac {7}{9})^{ \frac {1}{2}}-( \sqrt {2}-1)^{0}$$;
(2) $$\frac {1}{2}lg25+lg2-lg \sqrt {0.1}-log_{2}9×log_{3}2$$.

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