若4m的次方·8m的次方-1的次方除2m的次方=512求m的值

问题描述:

若4m的次方·8m的次方-1的次方除2m的次方=512求m的值

答:
4m的次方·8m的次方-1的次方除2m的次方=512
(4^m)×[8^(m-1)]÷(2^m)=512
[2^(2m)]×[2^(3m-3)]÷(2^m)=512
2^(2m+3m-3-m)=2^9
2^(4m-3)=2^9
4m-3=9
m=3