初一积的乘方题目(过程稍微详细点)..在线等

来源:百度知道 编辑:UC知道 时间:2024/09/24 16:26:05
(1).(-4xy^2)^2*(-x^2y)^3

(2).(a^3)^2n-1*(a^n-3)^2 [(a^3)的2n-1次方乘(a的n-3次方)^2]

(3).(-5a^6)^2+(-3a^3)^3*a^3

用简便方法计算:
(1).(-0.25)^11*4^11

(2).(-0.125)^200*8^201

(3).0.125^7*2^7*4^7

已知:(9^n-1)^2=3^16,求正整数n的值.

(1).(-4xy^2)^2*(-x^2y)^3
=16x^2y^4*(-x^6y^3)
=-16x^8y^7;

(2).(a^3)^2n-1*(a^n-3)^2 [(a^3)的2n-1次方乘(a的n-3次方)^2]
=a^(6n-3)*a^(2n-6)
=a^(8n-9);

(3).(-5a^6)^2+(-3a^3)^3*a^3
=25a^12-27a^9*a^3
=25a^12-27a^12
=-2a^12;

用简便方法计算:
(1).(-0.25)^11*4^11
=(-0.25*4)^11
=(-1)^11
=-1;

(2).(-0.125)^200*8^201
=(-0.125)^200*8^200*8
=(-0.125*8)^200*8
=(-1)^200*8
=8

(3).0.125^7*2^7*4^7
=(0.125*2*4)^7
=1^7
=1;

(9^n-1)^2=3^16,
[3^(n-1)]^2=3^16,
3^(2n-2)=3^16,
2n-2=16,
n=9.