Let $\displaystyle u_1,...,u_N$ be N independent random variables uniformly distributed on the interval $\displaystyle [0,1] $. Determine the cdf of $\displaystyle y:= max_n u_n$ and $\displaystyle z := min_n u_n$

So we are after the cdf of $\displaystyle F_y(s)=P(max_u \leq s)$ which is the probability that $\displaystyle max_u$ is greater then $\displaystyle s_1, s_2...$? not sure how to formalise/what distribution this is?

Thanks for any help..