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My students also think 10e3 is the same as 10^3; they do this all the time.
They also think sin^(-1) is the same as ArcSin of a number. Since they
only rarely invert the sine function (except possibly for critical angle
calculations in Total Internal Reflection) in my course.
I think all we can do is teach the difference explicitly; the
calculators have all standardized on misleading terminology and we have
to cope with the fallout.