
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
Simplify and evaluate the following expressions:

(1) $(1)(7+4 \sqrt {3})\,^{ \frac {1}{2}}-81\,^{ \frac {1}{8}}+32\,^{ \frac {3}{5}}-2\times( \frac {1}{8})\,^{- \frac {2}{3}}+ 32 \times(4\,^{- \frac {1}{3}})^{-1}$

(2) $(\log _{6}2)^{2}+(\log _{6}3)^{2}+3\log _{6}2\times(\log _{6} 318 - \frac {1}{3}\log _{6}2)$

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