
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
Find the value of the following expressions:

$(1) \ (1.5)^{-2}+(-9.6)^{0}-(3\frac{3}{8})^{-\frac{2}{3}}+\sqrt{(\pi-4)^{2}}$;

$(2) \ \log_{6}\sqrt{27}+\log_{6}\frac{2}{7}+\log_{36}98+3^{\log_{9}\frac{1}{4}}$.

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