Watt-hours allows you to compare battery chemistries that have different voltage. At higher voltage, or if you string together multiple cells, they can obviously pack more punch. Amp hours are only good for one cell of the same type. Knowing the amp hours makes it easier to calculate the charging current an time.
The base unit for energy contents in anything is Joules otherwise known as Watt-seconds. An hour is a more convenient casual unit of time.
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