
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
Simplify the following expressions:
$$(1) \left(\left(0.064^{\frac{1}{5}}\right)^{-2.5}\right)^{\frac{2}{3}}-\sqrt[3]{3\frac{3}{8}}-\pi^{0};$$
$$(2) \frac{2\log_2 + \log_3}{1+\frac{1}{2}\log_2 0.36+\frac{1}{4}\log_2 16}.$$

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