若3的m次方=4,3的n次方=27,求3的m+2次方,3的2m+3n次方的值
问题描述:
若3的m次方=4,3的n次方=27,求3的m+2次方,3的2m+3n次方的值
答
3^(m+2)
=3^m*3^2
=4*9
=36
3^(2m+3n)
=3^2m*3^3n
=(3^m)^2*(3^n)^3
=4^2*27^3
=16*19683
=314928