
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
Find the value of:<br/>$(1){({7+4\sqrt{3}})^0}+{32^{\frac{3}{5}}}-2×{({\frac{1}{8}})^{-\frac{2}{3}}}+\sqrt[3]{2}×{({{4^{-\frac{1}{3}}}})^{-1}}$;<br/>$(2)e^{2\ln 3}-\log _{4}9\cdot \log _{27}8+\lg 4+\lg 25$.

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