
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
Note that:

- \(9^2 = 81\) (no zeros),
- \(99^2 = 9801\) (one zero),
- \(999^2 = 998001\) (two zeros).

Assuming this pattern continues, how many zeros are in the expansion of \(9,\!999,\!999^2\)?

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