已知3的m次方=6,27的n次方=2,求3的2m减3n的值
问题描述:
已知3的m次方=6,27的n次方=2,求3的2m减3n的值
答
∵3^m=6,27^n=2
∴3^(2m-3n)
=[3^(2m)]/[3^(3n)]
=[(3^m)²]/[(3³)^n]
=[(3^m)²]/(27^n)
=6²/2
=18
答
3^(2m-3n)=3^2m/3^3n
=6²/2
=18