
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
By starting with one hundred million and alternatively dividing by 2 and multiplying by 5, Rahim created a sequence of integers that starts 100000000, 50000000, 250000000, 125000000, and so on. What is the last integer in his 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}
user