Question

Solve the question with explanation.

Answer 1

ANSWER:-
0

STEP-BY-STEP EXPLANATION:-

Given,

${a}^{m} {a}^{n} = {a}^{mn} \\ = > \: \: m + n = mn \\ = > \: \: n = \frac{m}{m - 1} \\ = > \: \: m = n(m - 1)$

similarly,

$n = m(n - 1)$

Now,

$m(n - 2) + n(m - 2) \\ = > \: \: m(n - 1) - m + n(m - 1) - n \\ = > \: \: n - m + m - n \\ = > \: \: \bf0$