Basically what I need is to know if this proof is correct
what I need to prove is:
if $a^3 > a $ then $a^5>a$ so, what i did was this:
$a^3 a^2 > a a^2$
$a^5 > a^3$
because $a^5>a^3$ I can say that $a^5>a$
EDIT: $a,b \in \mathbb{R}$, sorry I totally forgot to write it