How many top quark lifetimes have there been in the history of the universe (i. e., what is the age of the universe divided by the lifetime of a top quark) ? note that these powers of 10 follow the same rules that any exponents would follow?

In order to solve this, we must know the life in years of the universe and a top quark in order to compare them. If you search in the internet, the age of the universe by order of magnitude is about 10²² seconds while a top quark (heaviest subatomic particle) is 10⁻¹⁸ seconds. Thus,

10²² years/10⁻¹⁸ = 10²²⁻⁻¹⁸ = 10⁴⁰

There would be a total of 10⁴⁰ top quark lifetimes over the age of the universe.