exp(300)

There is someone that know how to calculate exp(300)=e^(300) where e
is the Euler constant e=2.7182818etc with *fixed point numbers*?
i find easy calculate exp(t) for t<10 with
exp(x)=1 + (x^1)/1! + (x^2)/2! + (x^3)/3! + ... + (x^k)/k!+ ...
and exp(x)=exp([x])*exp({x}) where x=[x]+{x} is integer part and
fractional part,
and the precision of the result is not affected. But with exp(t) t>10
the precision is not sufficient (e.g. only 1/2 of digits are right).
How can i handle the problem? It is right grow temporary the numbers
precision do the calculation and at end make precision like first?
How can i efficiently calculate (fixed_point_number)^(signed_number)?
.

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