指数概念从正整数指数推广到有理数指数,是深入学习指数运算的需要.本文拟从三个方面谈谈指数概念推广以后应注意些什么. 一、注意正确理解概念 1.明确指数概念推广的背景及意义正整数指数幂有五条运算性质:(1)a~n·a~n=a~(m+n);(2)a~m÷a~n=a~(m-n)(a≠0,m>n);(3)(a~m)~n=a~(mn);(4)(ab)~n=a~n·b~n;(5)(a/b)~n=a~n/b~n(b The exponential concept is extended from the positive integer exponent to the rational exponent, which is the need to study the exponential operation in depth. This paper intends to talk about the concept of the exponent from the following three aspects. First, pay attention to the correct understanding of the concept 1. Clear background of the exponential concept promotion And the meaning of the positive integer exponent power has five computing properties: (1) a~n a~n=a~(m+n);(2)a~m÷a~n=a~(mn)(a≠0 ,m>n);(3)(a~m)~n=a~(mn);(4)(ab)~n=a~n•b~n;(5)(a/b)~n =a~n/b~n(b