cdf is $F_X(x) = 1-(1-x)^k$, is that a "famous" distribution?

Question

The question is the following. I found that the cdf of X is $F_X(x) = 1-(1-x)^k$, where $k$ is a parameter. I was wondering if that is some famous distribution (like the one that has a name, for ex., uniform, Bernoulli, Poisson, etc).

Answer 1

It is the distribution function for $\min(U_1,\dots, U_k)$, where $(U_i)$ are i.i.d. uniform $(0,1)$ random variables.