若81的2m除以9的2m次方除以3的m次方=27

问题描述:

若81的2m除以9的2m次方除以3的m次方=27

1

81^(2m)/9^(2m)/(3^m
=(81/9)^(2m)/3^m
=9^(2m)/3^m
=3^(4m)/3^m
=3^(3m)
3^(3m)=27=3^3
3m=3
m=1

81的2m除以9的2m次方除以3的m次方=27
∵3∧8m÷3∧4m÷3∧m=3³
∴8m-4m-m=3
∴3m=3
∴m=1

(81^2m/9^2m)/3^m=(81/9)^2m/3^m=9^2m/3^m=3^4m/3^m=3^3m=27,得m=1