
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:
\[(1)0.64\;^{- \frac {1}{2}}-(- \frac {1}{8})^{0}+8\;^{ \frac {2}{3}}+( \frac {9}{16})\;^{ \frac {1}{2}}\]
\[(2)\log ^{2}2+\log 2\cdot\log 5+\log 5.\]

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