Question

16的m次方除以8m-1的方乘以2的m次方=512,求m的值

Answer 1

16^m/8^(m-1)*2^m=512 16^m=(2^4)^m=2^(4m)

2^(4m)*2^[-3(m-1)]*2^m=2^9

2^[4m-3(m-1)+m]=2^9 同底数幂相乘底数不变,指数相加

2^(2m+3)=2^9

2m+3=9

m=3