What is the answer for the following equation:
(8E18 x 4E12) ^ 1500
I can't find a calculator that goes that high....
Please help me !
Thank you in advance for your help and time !!
Matt
$\displaystyle ( 8 \times 10^{18} \cdot 4 \times 10^{12} ) ^{1500}$
$\displaystyle = (32 \times 10^{30} )^{1500}$
$\displaystyle = (32)^{1500} \cdot (10^{30} )^{1500}$
$\displaystyle = (2^5)^{1500} \cdot 10^{45000}$
$\displaystyle = 2^{7500} \cdot 10^{45000}$
You can do better than this, but as there are no factors of 10 in 2 to any power all you would be doing is writing out numbers. I don't think there is any way to write the answer in a simpler form.
-Dan
wow, what are you trying to work out here?
$\displaystyle \left( 8 \times 10^{18} \times 4 \times 10^{12} \right)^{1500} = \left( 32 \times 10^{30} \right)^{1500} = 32^{1500} \times 10^{45000}$
now, working out $\displaystyle 32^{1500}$ is rough.
maybe something here will be relevant
(i have another idea, but i'm not even sure if it's worth me running it down)
(EDIT: Yeah, it's not worth me running it down...)
(EDIT 2: Beaten by topsquark by a few seconds!)
Thank you very much everyone !!!!!
I should of thought of the answer.....
So I guess If 32^1500 = 5.308 E 2257
Then 5.308 E 2257 x 1E 45000 = 5.308 E 47257
Right ?
In case you're wondering a friend of mine asked me to do the math for the probabilities of a person being born.....
Thanks again for your time and your brainpower !