m为正整数,且4的m+3的次方×8的m+1次方÷2的4m+7=32,求m的值

4^(m+3)×8^(m+1)÷2^(4m+7)=32
2^(2m+6)×2^(3m+1)÷2^(4m+7)=32
2^(2m+6+3m+1-4m-7)=32
2^m=2^5
m=5