
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
Given the observed pattern where \( 9^2 = 81 \) contains no zeros, \( 999^2 = 998001 \) contains two zeros, and \( 9999^2 = 99980001 \) contains three zeros, determine how many zeros are in the decimal expansion of \( 99999999^2 \).

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