Ages ago, seems like bronze age to me now, I was a freshman in college and got my first calculator. A tiny Casio-Fx48 creditcard sized one. It was only 9 decimal digits accurate, but its floating point number range went all the way up to a googol, 9.9999999e+99. That number is so huge, it is more than the number of subatomic particles in the known universe. Ming bogglingly huge number. In math such things are so common. For example the function factorial, reaches a googol at 79. Yup, Factorial (79) > number of subatomic particles in the known universe.

I read the book "Fun With Numbers" by Mir publications, Moscow in 10th grade. It talked about simple things like immensity of a number like pow(2,64) explained in a simple language a 10th grader could get. (pow(2,64) rice grains would need a barn 3 meter wide, 3 meters tall and several times the distance of Earth to Moon or something like that).

So Mandelbrot set could exceed the resolution of the known universe, by some version of the definition of these terms, in as little as 64 iterations.