simply simple -subjective 1

if m, n ,p are positive integers satisfying m^{n^p}.n^{p^m}.p^mⁿ=3mnp

find value of m+n+p

2 Answers

it is equivalent to m^{n^p-1}.n^{p^m-1}.p^{m^n-1}=3
as 3 is prime, 2 terms are =1 and 1 term=3
so n=2 , p=1 , m=3.
so m+n+p=6

ok....thanks :)

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