若4ˆm·8ˆm-1÷2ˆ3m+1=64,求m的值.

若4ˆm·8ˆm-1÷2ˆ3m+1=64,求m的值.
若4ˆm·8ˆm-1÷2ˆ3m+1=64,求m的值.

若4ˆm·8ˆm-1÷2ˆ3m+1=64,求m的值.
4ˆm·8ˆm-1÷2ˆ3m+1=64
2^(2m+3m-3-3m-1)=2^6
2m-4=6
2m=10
m=5

4ˆm·8ˆm-1÷2ˆ3m+1
=2^(2m)*2^3(m-1)÷2ˆ(3m+1)
=2^(2m)*2^(3m-3)÷2ˆ(3m+1)
=2^(2m+3m-3-3m-1)
=2^(2m-4)=64=2^6
2m-4=6
m=5