
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 the values of the following expressions:  
$(1)(\sqrt{2})^0-(\frac{1}{3})^{-1}+8^\frac{2}{3}-(\frac{1}{4})^{-\frac{1}{2}}$;  
$(2)(8{a}^{\frac{1}{3}}{b}^{\frac{2}{3}}{c}^{\frac{3}{2}})({a}^{\frac{1}{2}}{b}^{\frac{4}{3}})\div (-4{a}^{\frac{5}{6}}b{c}^{-\frac{1}{2}})$.

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