已知a^m=6,a^n=4,求:a^(m-n)的值 a^(2m-3n)d的值已知a^m=6,a^n=4,求:a^(m-n)的值 a^(2m-3n)的值

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已知a^m=6,a^n=4,求:a^(m-n)的值 a^(2m-3n)d的值
已知a^m=6,a^n=4,求:a^(m-n)的值 a^(2m-3n)的值

楼主,很高兴能为您答题!
a^(m-n)=a^m/a^n=6/4=1.5
a^(2m-3n)=a^2m/a^3n=(a^m)^2/(a^n)^3=36/64=9/16

  a^(m-n)=a^m÷a^n=6÷4=3/2
  a^(2m-3n)=﹙a^m﹚²÷﹙a^n﹚³=6²÷4³=9/16

a^(m-n)=a^m/a^n=1.5
a^(2m-3n)=(a^(m-n))^3/a^m=9/16

a^(m-n)=a^m/a^n=1.5
a^(2m-3n)=(a^m)^2/(a^n)^3=9/16

a^(m-n)=a^m/a^n=6/4=3/2
a^(2m-3n)=(a^m)^2/(a^n)^6=6^2/4^3=9/16

m=6/a^ n=4/a^, a^(6/a^-4/a^)=2 a^(2m-3n)=0

a^(m-n)=a^m/a^n=6/4=1.5
a^(2m-3n)=a^2m/a^3n=(a^m)^2/(a^n)^3=36/64=9/16

a^(m-n)
=a^m/a^n
=6/4
=1.5

a^(2m-3n)
=a^2m/a^3n
=(a^m)^2/(a^n)^3
=6^2/4^3
=36/64
=9/16

(1)
a^(m-n)
=a^m/a^n
=6/4
=1.5(二分之三)
(2)
a^(2m-3n)
=(a^m)^2/(a^n)^3
=6^2/4^3
=36/64
=0.5625(九分之十六)