How would I work out $\displaystyle 200(2.34x10^25)\mbox{without a calculator (then I can put it into standard form)}$
Sorry, the power should be 10 to the power of 25, not working for some reason
When using latex it is preferable to use \times or \cdot to show multiplication as not to get confused with the variable x
[tex]10^{25}[/tex] $\displaystyle = 10^{25}$
I'd say that $\displaystyle 200 = 2 \times 10^2$ so it would reduce to $\displaystyle 2 \times 2.34 \times 10^2 \times 10^{25}$
Indeed
$\displaystyle e^{i\pi} = -1$ and it's a very famous identity in complex numbers, it's Euler's identity and comes from the fact that $\displaystyle e^{ix} = cos(x) + isin(x)$
Where $\displaystyle i^2 = -1$