Question

$\left|\left|A\right|\left|A\right|A\right|=A^{\lambda }$
what is value of $\lambda$

Answer 1

Let the order of $A$ be $n$

$\left||A||A|A\right|=||A{|}^{2}A|$

$|kA|=k^n|A|$

$||A{|}^{2}A|=|A{|}^{2n}|A|=|A{|}^{2n+1}$

so the value is $2n+1$