已知a^m=6,a^n=4,求a^m-n的值,求a^2m-3n的值

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已知a^m=6,a^n=4,求a^m-n的值,求a^2m-3n的值
已知a^m=6,a^n=4,求a^m-n的值,求a^2m-3n的值

已知a^m=6,a^n=4,求a^m-n的值,求a^2m-3n的值
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 = 6÷4 = 1.5
a^2m-3n = a^2m ÷ a^3n = (a^m)² ÷ (a^n)³ = 6²÷4³ = 0.5625

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