Question

已知：a的n+1次方×a的m+n次方=a的6次方,且m-2n=1,求m的n次方的值

Answer 1

a^(n+1)*a^(m+n)=a^6
a^(n+1+m+n)=a^6
a^(m+2n+1)=a^6
m+2n+1=6
m+2n=5
m-2n=1
解得
m=3
n=1
m^n
=3^1
=3