just a quick question!

For $\displaystyle n \geq 1$, let $\displaystyle X_1,X_2,....,X_n$ denote $\displaystyle n$ independent and identically distributed random variables according to $\displaystyle X$, with cdf $\displaystyle F_X(y)$. Let $\displaystyle Y = max\{X_1,X_2,....,X_n \}$. Show that the cdf $\displaystyle F_Y(y)$ of $\displaystyle Y$ satisfies:

$\displaystyle F_Y(y)=(F_X(y))^n \ y\in \Re$

that is meant to be y in the real numbers but cant find what the latex is for it.

thanks :)