计算:(1)(3a2)3?(a4)?2-(-a5)2?(a2)2;(2)(-2a2b3)4+a8?(-2b4)3(3)(-1)2009+(-)-2-(π-1)0-|-

发布时间:2020-08-11 22:08:35

计算:(1)(3a2)3?(a4)?2-(-a5)2?(a2)2;
(2)(-2a2b3)4+a8?(-2b4)3
(3)(-1)2009+(-)-2-(π-1)0-|-3|
(4)-2100×0.5100×(-1)999
(5)(p-q)?6÷[(p-q)?2?(q-p)?3]
(6)已知3×9m×27m=316,求m的值

网友回答

解:(1)(3a2)3?(a4)?2-(-a5)2?(a2)2,
=27a6?a8-a10?a4,
=27a14-a14,
=26a14;

(2)(-2a2b3)4+a8?(-2b4)3,
=16a8b12-8a8b12,
=8a8b12;

(3)(-1)2009+(-)-2-(π-1)0-|-3|,
=-1+4-1-3,
=-1;

(4)-2100×0.5100×(-1)999,
=-(2×0.5)100×(-1),
=1;

(5)(p-q)?6÷[(p-q)?2?(q-p)?3],
=(p-q)?6÷[-(p-q)?5],
=-(p-q),
=q-p;

(6)∵3×9m×27m=316,
∴31+2m+3m=316,
∴1+2m+3m=16,
解得m=3.
解析分析:(1)(2)先乘方,再乘除,最后合并同类项;(3)先乘方,再合并;(4)利用积的乘方法则计算;(5)把p-q看作整体,做同底数幂的乘除法运算;(6)将左边化为3为底数的同底数幂进行运算.

点评:本题考查了整式的混合运算.关键是按照混合运算的顺序进行,同时注意运算法则的灵活运用.
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