SOLUTION: Have a problem and answer, but I don't understand how the answer was reached. Could you please explain it to me. (2^4x)(8^2x)=2^10x Thanks!

Algebra ->  Exponents -> SOLUTION: Have a problem and answer, but I don't understand how the answer was reached. Could you please explain it to me. (2^4x)(8^2x)=2^10x Thanks!       Log On


   

Question 840598: Have a problem and answer, but I don't understand how the answer was reached. Could you please explain it to me.
(2^4x)(8^2x)=2^10x
Thanks!
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
%282%5E%284x%29%29%288%5E%282x%29%29=2%5E%2810x%29
.
.
You can substitute because,
8=2%5E3
.
.
%282%5E%284x%29%29%288%5E%282x%29%29=2%5E%2810x%29
%282%5E%284x%29%29%28%282%5E3%29%5E%282x%29%29=2%5E%2810x%29
%282%5E%284x%29%29%282%5E%283%2A2x%29%29=2%5E%2810x%29
%282%5E%284x%29%29%282%5E%286x%29%29=2%5E%2810x%29
%282%5E%284x%2B6x%29%29=2%5E%2810x%29