
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
Solve the value of the following expressions:
$$(1)\ (2 \frac{1}{4})\;^{ \frac{1}{2}}+(-2017)^{0}+(3 \frac{3}{8})\;^{- \frac{2}{3}};$$
$$(2) \ \sqrt {{\log _{10}} ^{2} \frac{1}{3}-4{\log _{10}} 3+4}+{\log _{10}} 6-{\log _{10}} 0.02.$$

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