SOLUTION: how do i write 2500^200 in scientific notation?

Let 

Take logs of both side:



Use the rule of logs that says 



Get your calculator and find 
then multiply by 200 and get 



Use the rule of logarithms that says the equation 

 is equivalent to 

So



is equivalent to



Break the exponent into the sum of an integer and a decimal:



Since we know that we add exponents when we multiply two
exponentials with the same base, we therefore know that if we see
two added exponents we, can rewrite them as the multiplication
of two exponentials with the same base:



Use the calculator to find 



Rearrange the factors to scientific notation form:



Edwin