“幂的运算”的几个注意

• 作 者: 徐生根
• 机 构: 浙江省江山市长台初中,
• 出 处: 时代数学学习(七年级)
• 发表日期: 2006年03期
• 关键词: 原式 错解 个位数 文字语言 运算法则

一、注意理解幂的运算法则的内涵与外延对于整数m,n,幂的运算有如下法则:①am·an=am+n,②(am)n=amn,③(ab)m=amb m,④am÷an=am-n(a≠0),学习时,要能熟练地将每条法则翻译成文字语言,如法则①可叙述为“同底数的幂相乘,底数不变,指数相加”,进而弄清“同底数”幂的内涵与外延(

First, pay attention to understand the power of the algorithm’s connotation and extension For integer m, n, power operation has the following rules: 1am · an = am + n, 2 (am) n = amn, 3 (ab) m = amb m, 4am÷an=am-n(a≠0). When you learn, you must be able to translate each rule into a language. If rule 1 can be described as “multiply by the same power as the base, the base is not changed, and the exponent is added. ” to further clarify the connotation and extension of the power of “same bottom number” (