若a√m=2,a√n=3,求a√(2m+3n)的值
问题描述:
若a√m=2,a√n=3,求a√(2m+3n)的值
答
a^2m+3n=a^2m x a^3n= (a^m)^2 x (a^n)^2=4x9=36
a^6n+3 = (a^2n+1)^3=5x5x5=125
((x^2)y)^2n = (x^n)^4 x (y^n)^2 = 16x9=144