Editing Hypercube (section)

== Relation to exponentiation ==
Any positive integer raised to another positive integer power will yield a third integer, with this third integer being a specific type of [[figurate number]] corresponding to an ''n''-cube with a number of dimensions corresponding to the exponential. For example, the exponent 2 will yield a [[square number]] or "perfect square", which can be arranged into a square shape with a side length corresponding to that of the base. Similarly, the exponent 3 will yield [[Cube (algebra)#In integers|a perfect cube]], an integer which can be arranged into a cube shape with a side length of the base. As a result, the act of raising a number to 2 or 3 is more commonly referred to as "[[Square (algebra)|squaring]]" and "cubing", respectively. However, the names of higher-order hypercubes do not appear to be in common use for higher powers.