
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. Simplify $9^{ \frac {3}{2}} \times 64^{ \frac {1}{6}} \div 3^{0}$
2. Simplify $\left(\frac {1}{9}\right)^{ \frac {1}{2}} \times 36^{- \frac {1}{2}} \div 3^{-3}$
3. Simplify $\frac {a^{2}}{ \sqrt {a} \cdot 3a^{2} }$ ($a>0$)

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