请输入您要查询的字词:

 

单词 NthRootFormulas
释义

nth root formulas


In the following formulas, a is a nonnegative real numberand other letters positive integers.  For other formulas, seethe parent entry (http://planetmath.org/NthRoot).

  1. 1.

    0n= 0,   1n= 1

  2. 2.

    a1=a

  3. 3.

    anm=amn=amn

  4. 4.

    amknk=amn

  5. 5.

    amn=(an)m

  6. 6.

    aman=am+nmn

Proof.  For proving, one uses the definition ofhttp://planetmath.org/node/754nth root and the power (http://planetmath.org/GeneralAssociativity) laws.

1.  0n=0,1n=1

2.  a1=a

3.  (anm)mn=((anm)m)n=(an)n=a

4.  (amn)nk=((amn)n)k=(am)k=amk

5.  ((an)m)n=((an)n)m=am

6.  (aman)mn=(am)mn(an)mn=((am)m)n((an)n)m=anam=am+n

随便看

 

数学辞典收录了18232条数学词条,基本涵盖了常用数学知识及数学英语单词词组的翻译及用法,是数学学习的有利工具。

 

Copyright © 2000-2023 Newdu.com.com All Rights Reserved
更新时间:2025/5/4 9:39:58