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The age of the universe is around 100,000,000,000,000,000s. A top quark has a li

ID: 1519089 • Letter: T

Question

The age of the universe is around 100,000,000,000,000,000s. A top quark has a lifetime of roughly 0.000000000000000000000001s. Writing numbers out with all these zeros is not very convenient. Such quantities are usually written as powers of 10. The age of the universe can be written as 1017s and the lifetime of a top quark as 1024s.

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.

Explanation / Answer

top quark lifetimes have there been in the history of the universe,

=age of the universe/lifetime of a top quark

=1017/10^24

= 10(17+24)

= 10^41

= 100000000000000000000000000000000000000000.

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