
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
The base of a power was increased by $k$ times, and the exponent of the power was decreased by the same factor, resulting in the power itself remaining unchanged. Find the base of the power that has this property.

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