【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

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/24 20:10:36
【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(

【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
【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

【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