若x^n=3,x^m=2,则x^m+n=______,x^2m=3n=______?
问题描述:
若x^n=3,x^m=2,则x^m+n=______,x^2m=3n=______?
答
x^(m+n)
=x^m×x^n
=2×3
=6
x^(2m+3n)
=x^(2m)×x^(3n)
=(x^m)²×(x^n)³
=2²×3³
=4×27
=108