
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. $a^{\frac{1}{3}}b^{\frac{1}{2}} \cdot (-3a^{\frac{1}{2}}b^{\frac{1}{3}}) \div (\frac{1}{3}a^{\frac{1}{6}}b^{\frac{5}{6}})$
2. $(0.064)^{-\frac{1}{3}} - (-\frac{7}{8})^{0} + (\frac{81}{16})^{\frac{1}{4}} + |-0.01|^{\frac{1}{2}}$

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