
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
Simplify or evaluate  
(1) $(2a^{ \frac {1}{2}}b^{ \frac {1}{3}})(a^{ \frac {2}{3}}b^{ \frac {1}{2}})÷(\frac {1}{3}a^{ \frac {1}{6}}b^{ \frac {5}{6}})$;  
(2) $(\frac {9}{16})^{ \frac {1}{2}}+10^{lg9-2lg2}+ln(4e^{3})-\log_{9}8•\log_{4}33$.

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