在学习幂的运算时,常会遇见一类题型,表面上看并不能运用某一个法则进行运算,需要我们开动脑筋,巧作变换,去异求同,才能化繁为简.这里的去异求同主要是指变底数相同,或是变指数相同.一、利用相反数的性质变底数相同,直接求解例1计算:(m-n)9÷(n-m)2·(m-n)÷(n-m)4.【解析】本题中的底数(m-n)与(n-m)互为相反数,变化一下,即可统一为同底 In the study of power computing, often encounter a type of questions, on the surface can not use a law to operate, we need to use their brains, clever to change, to different for the same, in order to simplify. Same for main refers to change the same base, or change the same index. First, the use of the nature of the same reverse the same base, the direct calculation of Example 1: (mn) 9 ÷ (nm) 2 · (mn) ÷ (nm) 4 . 【解析】 In this question, the base numbers (mn) and (nm) are the opposite of each other.