You mainly have two questions:

1. power 0 (infinitesimal discussed below can be understood as a fraction of an infinite integer, and infinity can be understood as an infinite integer)

Let x be a positive infinitesimal, which can be expressed as a positive infinitesimal d, and let y = 2 x = 2 (1/d).

The definition of this symbol is y d = 2, obviously y >；; 1, but when d is large, y can only be larger than 1 to make y d = 2.

The greater D, the smaller the difference between Y and 1; When d is positive infinity, the difference between y and 1 is positive infinitesimal, and we define the limit value of y as 1.

Back to: y = 2 x = 2 (1/d), d is positive infinity, x is positive infinitesimal (limit is 0), and the limit of y is 1.

Limit: 1 = 2 0.

Therefore, the zeroth power is 1, which can only be defined in this way to conform to the law of mathematical application.

Second, negative forces.

It is understood that x (- 1) means 1/x x (-n) means1/x n.

A positive exponent can be a decimal, so a negative exponent can also be defined as a decimal.