Question

if am/an = am then m=​

Answer 1

Answer:

We know that,

a

m

.a

n

=a

m+n

That is,

mn=m+n.

Now,

m(n−2)+n(m−2)=mn−2m+nm−2n

=2mn−2(m+n)=2(m+n)−2(m+n)=0

∴ The required answer is 0.

Answer 2

Given (am)n=amn

 amn=amn

⟹mn=mn

Applying logarithm on both sides

⟹logm+logn=nlogm

⟹(n−1)logm=logn

⟹logm=n−11logn

⟹m=n1/(n−1)