零指数幂与负整数指数幂精析

来源 :中学生数学 | 被引量 : 0次 | 上传用户:leeo_1987
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一、零指数幂和负整数指数幂的意义同底数幂相除,当被除式的指数等于或小于除式的指数时,就会出现零指数和负指数,因此,对零指数幂和负整数指数幂的意义作了如下规定:a~0=1(a≠0),即任何不等于0的数的0次幂都等于1.a~(-p)=1/a~p(a≠0,p是正整数),即任何不等于0的数的-p(p是正整数)次幂等于这个数的p次幂的倒数.理解和运用这两个法则时应注意以下几 First, zero exponential power and negative integer Exponential power with the end of the power of the same division, when the dividend index is equal to or less than the divisive index, there will be a zero index and negative index, therefore, zero exponential power and negative The meaning of integer exponential power is specified as follows: a ~ 0 = 1 (a ≠ 0), that is, any power of 0 which is not 0 is equal to 1. a ~ -p = 1 / a ~ p ≠ 0, p is a positive integer), that is, -p (p is a positive integer) that is equal to the power of any number that is not equal to 0. The following rules should be understood and used
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