若3的m次方等于6,9的n次方等于2,则3的(2m-4n+1)次方等于?

问题描述:

若3的m次方等于6,9的n次方等于2,则3的(2m-4n+1)次方等于?

=(3^m)^2×(3^n)^(-4)×3^1
=(3^m)^2×(9^n)^(-2)×3^1
=6^2×2^(-2)×3
=36×(1/4)×3
=27