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Are watts additive?

Rumblefisher

Supporting Member
Aug 22, 2007
4,961
4,117
I know this is probably a simplistic question but I tried a search and couldn't find an answer:

Are watts additive? In other words, do 2 500 watt amps plugged into 2 cabinets = 1 1000 watt amp?

Let's say I had 2 4x10 cabs and each one was attached to a separate 500 watt amp, would that be the equivalent of an 8x10 plugged into a 1000 watt amp?

Thanks.