
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
Starting with 100 million, Jordan alternates steps between dividing by 2 and multiplying by 5. The sequence begins with 100,000,000, 50,000,000, 250,000,000, and so on. After 14 steps, what is the last integer in Jordan’s sequence? Express your answer in the form $a^b$, where $a$ and $b$ are positive integers, and $a$ is as small as possible.

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