Exponentiation
Exponentiation is a fundamental way to
combine numbers.
It is easy to define for
ordinary numbers :
just as 4 x 3 is 4 added to itself three times (4 + 4 + 4 = 12),
so 4^{3}
is 4 multiplied by itself 3 times
(4 x 4 x 4 = 64).
But for transcendental numbers this
definition of exponentiation is more
complicated :
what could it mean to multiply
something by itself pi times , for
example?
That is because pi itself cannot precisely be defined, therefore pi
multiplied by pi is also not precisely defined.
