
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
$(1)(2a^{ \frac {3}{2}}b^{ \frac {1}{2}})(-6a^{ \frac {1}{2}}b^{ \frac {1}{3}})÷(-3a^{ \frac {1}{6}}b^{ \frac {5}{6}})$;
$(2)( \sqrt[3]{2}× \sqrt {3})^{6}+( \sqrt {2 \sqrt {2}})^{ \frac {4}{3}}- \sqrt[4]{2}×8^{0.25}-(-2005)^{0}$.

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