
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
Do 1.01, 1.001, and 1,000.001 have powers that are greater than 1,000,000,000,000? And what about 1,000,000,000,000,000.00? If they do, name one such power for each!

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