How do you put this 10000(1+0.035)^6570 in scientific notation? Is it 1.44x10^102? The number is too big for my calculator

GoldLeaf is wrong, you can't combine the exponents without like terms. The way Gold is doing it is where they're combining (0.1035x10^-5)(1x10^6570) which is not correct. You still need to multiply. So you are correct. 1.439x10^102 is correct. Or 1.44x10^102

The anon below me is correct, so I'm just going to remove this large wall of incorrect work :p

@Anonymous

Ah, my bad; I was reading a 10^6570 instead of (1+0.035), so you are correct.

Thank you anonymous for your correct answer and thankyou GoldenLeaf for having a shot.  

GoldenLeaf I want to try and sort out your understanding of scientific notation.

10305 is a large number (bigger than 9) so when it is changed the scientific notation the indice will be Positive

And, you want just one Non-zero number in front of the point so it becomes

$$10305 = 1.0305\times 10^4$$

If it was a little number, smaller than 1 then the indice would be negative!

I hope that helps.  

@Melody Ah, I haven't done scientific notation in a while, so that's what I thought it was  Thanks Anon for the correct answer, and thanks Melody for the refresher.