问题
解答题
若(am+1bn+2)(a2n-1b2n)=a5b3,则求m+n的值.
答案
(am+1bn+2)(a2n-1b2n)=am+1×a2n-1×bn+2×b2n
=am+1+2n-1×bn+2+2n
=am+2nb3n+2=a5b3.
∴m+2n=5,3n+2=3,解得:n=
,m=1 3
,13 3
m+n=
.14 3
若(am+1bn+2)(a2n-1b2n)=a5b3,则求m+n的值.
(am+1bn+2)(a2n-1b2n)=am+1×a2n-1×bn+2×b2n
=am+1+2n-1×bn+2+2n
=am+2nb3n+2=a5b3.
∴m+2n=5,3n+2=3,解得:n=
,m=1 3
,13 3
m+n=
.14 3