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In short - No.

Batteries by themselves don't produce any power at all.

And "power" is rarely used in relation to batteries. It's far more common to talk about "capacity"(amp hours) than "power"(watts)

To get a power output you need to hook something up to the batteries, and generally speaking it's this hooked up thing - the consumer - where it makes sense to talk about power.

Electrical power - watts - is calculated through current(amps) x tension(volts)

Different batteries have different discharge characteristics - that is - which voltage they can maintain at a certain current drain. So the amount of power being delivered will depend on how the battery will react to what the consumer is trying to draw from it.

There are batteries which do well at high-discharge rates, which I guess could be seen as "high power" units. But again, it isn't the usual way of describing things. A high-discharge battery can release more power(watts) than a regular battery - but only if the consumer allows it.

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Q: Will lower power batteries produce higher power than higher power batteries?
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