Question

M=a^x , n=a^y and a^2=(m^y × n^x)^z.find xyz

Answer 1

$m=a^x,\ \ n=a^y,\ \ a^2=(m^y \times n^x)^z\\\\a^2=(a^{xy} \times a^{xy})^2=a^{2xyz}\\\\xyz = 1$