
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 value of the following expressions:  
(1) $(2a^{\frac{2}{3}}b^{\frac{1}{2}}) \cdot (-6a^{\frac{1}{2}}b^{\frac{1}{3}}) \div (-3a^{\frac{1}{6}}b^{\frac{5}{6}}) \cdot a^{-1}$;  
(2) $0.0081^{-\frac{1}{4}} - [3 \times (\frac{7}{8})^{0}]^{-1} \times [81^{-0.25} + (3\frac{3}{8})^{-\frac{1}{3}}]^{-\frac{1}{2}}$.

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