Squares: Squares are simply a number multiplied by itself, named for the fact this is the formula for finding the area if a square. They are shown as x•x or x2 _________________________________________________________ Cubes: Cubes work in a very similar way to squares, but are just a little different than them. A square is displayed as x2, while a cube is displayed as x3. While a square is shown as x•x, but a cube is shown as x•x•x. This is derived from how a square number is like finding the area of a square, while finding a cube number is like finding the volume of a cube. Negatives Unlike squares, a cube of an integer can be a negative number. If a square is negative, it would be impossible in the real number plane. As a negative or positive real number squared results in a positive number, the complex number i is needed to result in a negative square. i is the square root of (-1), so the square root of (-4) for example, would be 2i.