
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: (1) $a^{ \frac {1}{3}}b^{ \frac {1}{2}}\cdot(-3a^{ \frac {1}{2}}b^{ \frac {1}{3}})÷\left( \frac {1}{3}a^{ \frac {1}{6}}b^{ \frac {5}{6}}\right)$  
(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