
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
Are the following equations correct?
1. \(96 \cdot 98 \cdot 189 = 81 \cdot 343 \cdot 2^{6}\)
2. \(12^{18} = 27^{6} \cdot 16^{9}\)
3. \(25^{28} \cdot 0.008^{19} = 0.25\)

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