
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 $9\;^{ \frac {3}{2}}×64\;^{ \frac {1}{6}}÷3^{0}$
2. Simplify $(\frac {1}{9})\;^{ \frac {1}{2}}×36\;^{- \frac {1}{2}}÷3^{-3}$
3. Simplify $\frac {a^{2}}{ \sqrt {a}\cdot 3a^{2 } }(a > 0)$

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