
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 value of the following expressions:

$(1) \ {0.064}^{− \frac{1}{3}}−{(− \frac{7}{8})}^{0}+{16}^{0.75}+{0.01}^{ \frac{1}{2}}$

$(2) \ 2{\log }\_{3}2−{\log }\_{3} \frac{32}{9}+{\log }\_{3}8−{25}^{{\log }\_{5}3}$

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