1.若3x-2y-4=0求1000的x次方*100的y次方 2.若a^m=2,a^n=6求:a^m-n,a^2n-3m 3,.如果9^m+3乘27^m+1除27^2m-4.如果2^x*16^y=8,3^x*9^4y=1/3,求x,y的值3.如果9^m+3乘27^m+1除27^2m-1=81,求m的值

问题描述:

1.若3x-2y-4=0求1000的x次方*100的y次方 2.若a^m=2,a^n=6求:a^m-n,a^2n-3m 3,.如果9^m+3乘27^m+1除27^2m-
4.如果2^x*16^y=8,3^x*9^4y=1/3,求x,y的值
3.如果9^m+3乘27^m+1除27^2m-1=81,求m的值

1、题干因该是3x+2y-4=0,如果是这样的话,结果为10000;
2、①结果为1/3,②结果为1/27;

3x-2y-4=0
3x-2y=4
1000^x÷100^y
=(10^3)^x÷(10^2)^y
=10^3x÷10^2y
=10^(3x-2y)
=10^4
=10000
a^(m-n)
=a^m/a^n
=2/6
=1/3
a^(2n-3m)
=a^2n/a^3m
=(a^n)^2/(a^m)^3
=6^2/2^3
=36/8
=9/2

x^2+x=1
x不等于0
所以:
x^3+x^2=x
所以:
X^3+2X^2+3
=x^3+x^2+x^2+3
=x+x^2+3=1+3=4

2^x*16^y=2^x*(2^4)^y=2^x*2^(4y)=2^(x+4y)=2^3
3^x*9^(4y)=3^x*(3^2)^(4y)=3^x*3^(2*4y)=3^(x+8y)=3^(-1)
所以
x+4y=3
x+8y=-1
解得
x=7
y=-1

3x-2y-4=0
3x-2y=4
1000^x÷100^y
=(10^3)^x÷(10^2)^y
=10^3x÷10^2y
=10^(3x-2y)
=10^4
=10000
a^(m-n)
=a^m/a^n
=2/6
=1/3
a^(2n-3m)
=a^2n/a^3m
=(a^n)^2/(a^m)^3
=6^2/2^3
=36/8
=9/2 我也觉得不好做(我也是初一的学生)

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