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> .计算(﹣1)1+(﹣1)2+…+(﹣1)2000=  .                          ...

.计算(﹣1)1+(﹣1)2+…+(﹣1)2000=  .                          ...

问题详情:

.计算(﹣1)1+(﹣1)2+…+(﹣1)2000=  .                          ...

计算(﹣1)1+(﹣1)2+…+(﹣1)2000=  .                                          

                                                                                                      

【回答】

0 .                                                                                                 

【考点】有理数的乘方.                                                                         

【分析】在2000个数中根据﹣1的奇次幂等于﹣1,偶次幂等于1可以知道共有1000个奇数,就有1000个﹣1,有1000个偶数就有1000个1,从而可以求出结果.                                                

【解答】解:原式=﹣1+1﹣1+1+…+1﹣1+1                                              

=﹣1000+1000                                                                                    

=0.                                                                                                  

故*为:0.                                                                                   

【点评】本题是一道有理数乘方的计算题,考查了有理数乘方的法则,﹣1的奇次幂与偶次幂的不同*质.                  

                                                                                                      

知识点:有理数的乘方

题型:填空题

标签: 计算
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