SOLUTION: what is the answer to 8 to the negative 2/3 power?

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: what is the answer to 8 to the negative 2/3 power?      Log On


   



Question 226431: what is the answer to 8 to the negative 2/3 power?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
8%5E%28-2%2F3%29=1%2F8%5E%282%2F3%29%5E%22%22=1%2F%28root%283%2C8%29%29%5E2=1%2F2%5E2=1%2F4


So 8%5E%28-2%2F3%29%5E%22%22=1%2F4


Note: remember that %28x%2Fy%29%5E%28-2%29=%28y%2Fx%29%5E2