${x^4}$ as "tesseracting" a number $x$ So, this strange thought popped up into my head. You know how we call ${x^2}$ squaring due to the fact that what you're essentially doing is finding the area of a square with side length $x$? The same goes for cubing. Saying ${x^3}$ is really going to give you the volume of a cube with side length $x$. Now, what if I tried to coin a term that would take this -ing pattern to another level with ${x^4}$? This would technically give me the 4D volume, per se, of a tesseract(a 4D cube). So, couldn't this really be thought of as "tesseracting" a number?
In fact, I may have a deduction/thought. Saying ${x^n}$ could just be thought of as n-cubing a number. A square can be thought of as a cube in 2D. As in, a cube with only length and height, no depth. So, saying ${x^2}$ can be seen as 2-cubing, or squaring a number. The same goes for ${x^3}$. You are 3-cubing, or just cubing, a number. So it seems this n-cubing pattern holds. So, why not extend it to the tesseract? Why isn't ${x^4}$ just thought of as 4-cubing or "tesseracting"? The pattern I thought of would still hold.
Also, do you mind going easy with the criticisms? I'm not trying to sound like a you-know-what, but just keep in mind I'm extremely amateur and only in 11th grade. And since it seems like this is original to my thoughts, I'm a bit overexcited about this thought.

I think this is a really good way to bring geometric intuition into exponentiation. I'm not sure "tesseract" is universally the term for the "4-cube," but "4-cubing" seems great. 
