SOLUTION: Can you show me step by step how to solve this? 8^-5*8^7 ________ 8^2

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: Can you show me step by step how to solve this? 8^-5*8^7 ________ 8^2       Log On


   

Question 195530: Can you show me step by step how to solve this?
8^-5*8^7
________
8^2

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
First, simplify the numerator by adding the exponents: 8%5E%28-5%29%2A8%5E7=8%5E%28-5%2B7%29=8%5E2


So %288%5E%28-5%29%2A8%5E7%29%2F%288%5E2%29=%288%5E2%29%2F%288%5E2%29


%288%5E2%29%2F%288%5E2%29 Start with the given expression.


8%5E%282-2%29 Subtract the exponents


8%5E0 Subtract


1 Raise 8 to the zeroth power to get 1


So %288%5E2%29%2F%288%5E2%29=1 which means that


%288%5E%28-5%29%2A8%5E7%29%2F%288%5E2%29=1