SOLUTION: 2^400 divided by 2^396 minus 2^3 = ? i already solved 2^3 it equals 8, but i can't figure out how to solve the other exponants because it doesn't work on my calculator, and i tr

Algebra ->  Exponents -> SOLUTION: 2^400 divided by 2^396 minus 2^3 = ? i already solved 2^3 it equals 8, but i can't figure out how to solve the other exponants because it doesn't work on my calculator, and i tr      Log On


   



Question 118828: 2^400 divided by 2^396 minus 2^3 = ?
i already solved 2^3 it equals 8, but i can't figure out how to solve the other exponants because it doesn't work on my calculator, and i tried but can't do it by hand, because i can't multiply 2, 400 times it would take hours. also i don't know how to divide exponants, since i can't figure out how to solve them.

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
You are right, if you do it the hard way, but let's try the smart way!
Evaluate:
%28%282%5E400%29%2F%282%5E396%29%29-2%5E3 I hope I've got this right?
Remember that when you do division with exponents, you subtract the exponents as long as the bases are the same, as in your problem:
2%5E400%2F2%5E396+=+2%5E%28400-396%29=2%5E4+=+16
So now the problem is:
2%5E4-2%5E3+=+16-8 = 8