
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 $8^2 = 64$, which contains no zeros; $88^2 = 7744$, which contains no zeros; and $888^2 = 788,\!944$, which contains 1 zero. Assuming this pattern continues, how many zeros are in the expansion of $88,\!888,\!888^2$?

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