$122.$ Given an odd integer m $=$ prod p $^$ alpha $>1$ the Jacobi Symbol is defined by$($a$/$m$)=$ prod $($a$/($p $^$ alpha$))(\backslash$alpha $\backslash$epsi $\backslash$Zeta $).$Show that for odd integers m and n both $>1,($n$/$m$)($m$/$n$)=(-1)^(($m $-1)($n $-1)/4)$ HMW$2$