1.1.3积的乘方同步练习2025-2026学年湘教版七年级数学下册

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新湘教版七年级下册数学第一章《整式的乘法》

1.1.3积的乘方

班级:___________姓名:___________   时间:20分钟

一、基础练习

1.计算eqId07d76f53b7e2ce1ec96131c85d2b92e5的结果是(   )

A.eqId526de9a76a8305759a79ddee96d1cd16 B.eqId931e810c9a659c99458eebd12705e089 C.eqId1f0cde5dfe5438a4c0082f36fbf8a72f D.eqIdac19004df1ada79217d66d93b70e4e97

2.下列各式计算结果为eqIdceb890fa79be7c97f8fc6b4c41a5bc06的是(    )

A.eqId8d8d6642e861427fe27cf08909daf2ae B.eqId4c66c306b3cb479a8cf80f2e5910dbfe C.eqIde81838898acf7b16e1c3a0c8e266e73a D.eqIda13f81b0875a48100ca7b3f985025556

3.计算eqIdd61114648d7f030e0de8fc4b5534fd01的结果正确的是(   )

A.eqIdcb35961d2aae3cb2d3bcacce5a391027 B.eqIda5a215cd34c1e8626868a952e028240b C.eqIdf9bfe4ac6ed273a6107806f356936676 D.eqIdb5da66240afe555e254af3193825ac70

4.计算:eqId31d956641d289591d0fba29221d75a49=______.

5.计算:eqIdeff3172c6125a9349e0f737dbc66961e _________.

6.计算.

(1)eqId1cf6620c8c5a59821871876be78748bb;

(2)eqId0c5bcc92100d6a87fd766bec8cb0ca47.

 

 

 

 

二、提高练习

7.下列各式一定成立的是(   )

A.eqId073829a8683ebd9a02cfe2032a506fed B.eqId990656ad982436d31c86a60af84c5ae1 C.eqId9d5b10daa7772b0cac1d3769e56a31c6 D.eqId0d0271d76a24e43a13cb23f50d4f2340

8.eqId8da7327b8076e77ee49723207033e2aa______.

9.已知eqId6e6b202d24a5778e87c6dc764f0775e2,求eqId5c4baa11689835e84c4c7cb15b0e16e1的值.

 

 

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三、拓展练习

10.若n为正整数,且eqId6e6b202d24a5778e87c6dc764f0775e2,eqId3329d76c84a229e8f456c96954885a53,则eqIdebafe070ab85af3993e879cca631e8c9的值为(  )

A.6 B.12 C.36 D.72

11.计算:eqId2fd4fdaf2bdc5e6b243de1ba799ba2a9_____ .

12.(1)计算:eqId0d952da203db1cd98480629c82f85326.

(2)若eqId242a9e2f507943b973f9908c7a1e406e,eqId4e719520b52f049a90830ebef4844172,用eqId294f5ba74cdf695fc9a8a8e52f421328,eqIdb6a24198bd04c29321ae5dc5a28fe421的代数式表示eqIdb12288e52971d15e547455765b55b752.

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《新湘教版七年级下册数学第一章《整式的乘法》1.1.3积的乘方》参考答案

题号

1

2

3

7

10

 

 

 

 

 

答案

B

A

A

D

C

 

 

 

 

 

 

1.B

【详解】解:eqId10d1104520eebf68322786a2156c5ad2.

2.A

【详解】解:A:eqIdb2baec7b9ef189dc2745fb30eb1226e9,结果是eqIdceb890fa79be7c97f8fc6b4c41a5bc06,符合题意;

B:eqId91e6451fca9fb0e9dfa9a2e86cde09a4,结果不是eqIdceb890fa79be7c97f8fc6b4c41a5bc06,不符合要求;

C:eqId88485a10ae965721452701a7eb0c32c0,结果不是eqIdceb890fa79be7c97f8fc6b4c41a5bc06,不符合要求;

D:eqId67a7fa92abfa77be685c0c2419985f2b,结果不是eqIdceb890fa79be7c97f8fc6b4c41a5bc06,不符合要求.

3.A

【分析】先计算乘方,再计算单项式乘法,运用积的乘方、同底数幂相乘的法则即可得到结果.

【详解】解:eqIdd61114648d7f030e0de8fc4b5534fd01

eqIdba3d9f2a5c72938b35f316319d5626da

eqId5b2f7feae593b95c0df3be564bd70f9d.

4.eqIde69f9bf4674150b1d58d9b5564369a59

【分析】根据:eqId3803920e53e445be16fc5a9b911031aa,eqId2444f9b118a5f3b0dcf7dd9a70e9efc1(eqId294f5ba74cdf695fc9a8a8e52f421328、eqIdb6a24198bd04c29321ae5dc5a28fe421为正整数)计算即可.

【详解】解:eqIdac902506796829b7909fdeccc0bdf25c.

5.eqIde86c9477c8a9829164f37ace0016fc42

【分析】根据积的乘方法则先计算乘方,再根据单项式乘单项式法则和同底数幂的乘法法则计算,即可得到结果.

【详解】解:eqIdd3f22a6a3d727497741ee0bf7009ebd3

eqId7f473db4276c9048aa29a26e2bb8dbe4

eqIda05a57be3a00d32e7c103f366bc4db66

eqId2bf655b5df23b67219c5f8b2dfeac2fapage number 2

 

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