Question

If
${a}^{n} \times {a}^{n } = {a}^{mn} then \: m(n - 2) + n(m - 2)is$
​

Answer 1

Step-by-step explanation:

a^n*a^n = a^mn

=> a^(n+n) = a^mn

compare powers

=> n+n = mn

=> 2n - mn = 0

=> n(2-m)=0

=> n=0 , m=2

put values in equation

m(n-2) + n(m-2)

=2(0-2) + 0(2-2)

= -4