Comments by "SmallSpoonBrigade" (@SmallSpoonBrigade) on "Trojúhelník mocnin" video.

  1. I like your videos, but let's be honest, at a certain point trying to make things visual just makes it worse. And that point is somewhere before intermediate algebra. You give up a ton of potential by trying to visualize things. The human brain can't handle more than about 4 different dimensions at once, but by the time you hit calculus there are situations where you might be dealing with at least that many different dimensions in a problem, or really coordinate substitutions and nested functions and trying that visually is just a waste of brain power. It's far better to just get away from the visuals as soon as possible and to only return to them in situations where doing so makes sense or when using a branch of math like geometry where things are more naturally visual in nature. EDIT: As far as the topic goes, those 3 different notations exist with very good reason. The first works best if you've got a single number or short string, the second with the radical allows for longer strings of terms while still informing the reader what the operation is going to be. Whereas with that first notation, you'd wind up with a fractional exponent, something that used to be hard to print, and you don't get to it until after reading the string of terms. The last one makes the most sense if you're working with exponential expressions as you still get a meaningful result even if that 8 turns into something that can't easily be expressed in terms of the base being used with the log.
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