已知3的m次方=6,9的n次方=2,试求3的2m-3n次方除以3的n-1次方的值.

问题描述:

已知3的m次方=6,9的n次方=2,试求3的2m-3n次方除以3的n-1次方的值.
如题
准确

3^m=6
9^n=2
3^(2m-3n)/3^(n-1)
=3^(2m-3n-n+1)
=3^(2m-2n+1)
=3^(2m)*3/3^(2n)
=3^m*3^m*3/9^n
=6*6*3/2
=54