
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:

(I) ${({\frac{9}{4}})^{\frac{1}{2}}} - {(9.6)^0} - {({\frac{27}{8}})^{-\frac{2}{3}}} + {({\frac{2}{3}})^2}$;

(II) ${\log _5}25 + \lg {\frac{1}{{100}}} + \ln \sqrt e + {2^{{\log _2}3}}$.

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