已知（x^5m+n * y^2m-n)^3=x^6 * y^15,求n^m的值
问题描述：
已知（x^5m+n * y^2m-n)^3=x^6 * y^15,求n^m的值
答
[x^(5m+n) * y^(2m-n)]^3=x^6 * y^15x^[3*(5m+n)]*y[3(2m-n)]=x^6 * y^15x^(15m+3n)*y^(6m-3n)=x^6 * y^1515m+3n=65m+n=2.16m-3n=152m-n=5.21式+2式得7m=7m=1将m=1代入1式得5m+n=25+n=2n=-3n^m=(-3)^1=-3