If you start out with $x$ bacteria, then you get $4x$ bacteria after one minute $4(4x)$ bacteria the next, $4(4(4x))...$ therefore you get $4^6x$ bacteria after 6 minutes.
In general if bacteria multiplies itself after $1$ minute, and let $T(n)$ be the amount of bacteria after $n$ minutes will be:
$$T(n) = 4^nx$$
Where $x$ is the amount of bacteria you started with. Also, if you're familiar with computer programming, it's easy to see this with a for loop starting from $1$ to $n$.