若a^m+1,a^2n+1=a^8,且b^2m+1×b^n+2=b^10,求m^n
问题描述：
若a^m+1,a^2n+1=a^8,且b^2m+1×b^n+2=b^10,求m^n
答
a^(m+1)*a^(2n+1)=a^(m+2n+2)=a^8
b^(2m+1)*b^(n+2)=b^(2m+n+3)=b^10
所以m+2n+2=8,2m+n+3=10
解得m=8/3,n=5/3
所以m^n=(8/3)^(5/3)