Calculating very large powers of $e$ I need to calculate $e^{1763.192674118048}$, but when I try to calculate it directly using Matlab it returns "Inf", i.e. it can't calculate it.  How do I calculate this?  For what it's worth, just getting the right power of 10 would be accurate enough for my purposes.
 A: $$ \left\lfloor \frac{1763.192674118048}{\log 10} \right\rfloor = 765  $$
This is the logarithm base $e,$ so $\log 10 \approx 2.30258509$
Since $$ \frac{1763.192674118048}{\log 10} \approx 765.7448488 $$ we find that your number is 
$$ e^{1763.192674118048} \approx 5.5571 \cdot 10^{765} $$
because
$$ 10^{0.7448488} \approx 5.5571  $$
A: To get the approximate power of ten, i.e. the $\alpha$ in $e^x \approx 10^\alpha$, by taking natural logarithms on both sides, $x \approx \alpha \ln 10$, so $\alpha = \frac x {\ln 10}$. That gives approximately $765$.
A: If, for your purposes, it would be sufficient to convert a power of e into a power of 10, then you can just change the base of the exponent:
$$e^x = (10^{\log_{10}(e)})^x = 10^{x \log_{10}(e)}$$
For example, this is done in the following Matlab code:
x = 3.2
y = x*log10(exp(1))
exp(x), 10^y

A: Use vpa (variable-precision arithmetic). You can do it with strings
>> vpa('exp(1763.192674118048)')
ans =
5.5571088254929495883970009541213*10^765

or defining a symbolic variable
>> x = sym(1763.192674118048);
>> vpa(exp(x))
ans =
5.5571088254928906583892856815215*10^765

