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I think it's to do with logs to the base "e" in the exponential system. ex is the exponential of x. Call it y: y= ex , then x=log(y) and you might (though I've never heard it) say x is the inverse exponent of y. And remember, with logs, you add them (the x's) to multiply the y's. It sounds pretty pompous and deliberately baffling to me if that is the case. Equally you might say additive inverse is equivalent to subtraction, though better might be inverse addition is equivalent to subtraction. Equally pompous and confusing.

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Q: What is additive inverse exponenet exponential notation means?
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