若lg3=m,lg6=n,则100^3m-2n=

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若lg3=m,lg6=n,则100^3m-2n=

若lg3=m,lg6=n,则100^3m-2n=
若lg3=m,lg6=n,则100^3m-2n=

若lg3=m,lg6=n,则100^3m-2n=
lg3=m
∴10^m=3
同理10^n=6
100^(3m-2n)这里有括号的吧.
=10^2(3m-2n)=10^(6m-4n)=10^6m/10^4n=(10^m)^6/(10^n)^4=3^6/6^4=0.5625 =9/16

10^m=3 10^n=2 100^3m-2n=100^3m/100^2n=100^3*(10^m)^2 /100^2*(10^n)^2 =9/16

-9

10^m=3,10^n=6,100^3m-2n=(100^3m)/(100^2n)=10^(6m)/10^(4n)=3^6/6^4=9/8

由已知知10^m=3
10^n=6;
而100^3m-2n=100^3m/100^2n=10^6m/10^4n=3^6/6^4=9/16