
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) Calculate $$4x^{ \frac {1}{4}}(-3x^{ \frac {1}{4}}y^{- \frac {1}{3}})÷(-6x^{- \frac {1}{2}}y^{- \frac {2}{3}})$$;  
(2) Evaluate $$\lg5+\lg2-(- \frac {1}{3})^{-2}+(\sqrt{2}-1)^{0}+\log_{2}8$$.

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