
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: $16\;^{ \frac {1}{2}}+(\frac{1}{81})^{-0.25}-(-\frac{1}{2})^{0}$

(2) Simplify: $((2a\;^{ \frac {1}{4}}b\;^{- \frac {1}{3}})(-3a\;^{- \frac {1}{2}}b\;^{ \frac {2}{3}})\div(-\frac{1}{4}a\;^{- \frac {1}{4}}b\;^{- \frac {2}{3}}))$

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