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【数学简便方法 (1) (-9)^3*(-2/3)^3*(1/3)^3(2)-8^2001*(-0.125)^2000+

来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/05/11 12:48:45
【数学简便方法
(1) (-9)^3*(-2/3)^3*(1/3)^3
(2)-8^2001*(-0.125)^2000+(-0.25)^3*2^6
(3) (0.5*11/3)^10*(-2*3/11)^1
(4) (a-1)(a^4+a^3+a^2+a+1)
(3)(0.5*11/3)^10*(-2*3/11)^11
(1) (-9)^3*(-2/3)^3*(1/3)^3
=[-9×(-2/3)*(1/3)]³
=2³
=8
(2)-8^2001*(-0.125)^2000+(-0.25)^3*2^6
=-8²ºº¹×(-1/8)²ººº+(-1/4)³×4³
=-8×(8×1/8)²ººº+(-1/4×4)³
=-8-1
=-9
(3) (0.5*11/3)^10*(-2*3/11)^10
=(-1/2×11/3×2×3/11)¹º
=(-1)¹º
=1
(4) (a-1)(a^4+a^3+a^2+a+1)
=a^5+a^4+a^3+a^2+a-a^4-a^3-a^2-a-1
=a^5-1
再问: (3)(0.5*11/3)^10*(-2*3/11)^11【呵呵,对不起,打错了】
再答: (3)(0.5*11/3)^10*(-2*3/11)^11 =(-1/2×11/3×2×3/11)¹º×(-2×3/11) =(-1)¹º×(-2×3/11) =-6/11