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It really boils down to the amount of power that the battery can 'store'. Smaller batteries are convenient but actually store less power than the larger, bulkier batteries do.

Since POWER = VOLTAGE x AMPERAGE and the overall power is less in the higher voltage battery, then, it must mean that the amperage, or current available in the 9 v battery is less in the long run than the 6 v battery.

For instance, an automobile battery is 12 v and has to pack quite a wallop to get a car started, yet there are much smaller 12 v batteries but they'd never be able to generate enough amperage to start the car.

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