
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) $$\frac {a\cdot 3b \sqrt {a} }{b^{ \frac {1}{2}}}$$  
(2) ($$\frac {9}{4}$$)$$^{ \frac {1}{2}}$$ - (-9.6)<sup>0</sup> - ($$\frac {27}{8}$$)$$^{- \frac {2}{3}}$$ + (1.5)<sup>-2</sup>.

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