: 2. The observation of facts. : 0. Abstract.

1. Introduction.

In an elective class a teacher asked his students to make big numbers with computer algebra, and some students made a number with a form of $ x^y $ with an integer $ x = 99999\dotsb99 $and a positive integer $ y $. One student calculated $ 9999999999^{41} $. In Example 1 you can see the expansion of the number. He said to the teacher "It seems to me that there are more 0 and 9 than other numbers. Is this true? If so, why?". Unfortunately the teacher did not know why, so the teacher and his students began to study the number. This turned out to be a very interesting journey to find a beautiful figure and the mathematical structure of it.