SOLUTION: evaluate (sqrt289)^-3. express your answer as a fraction

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Question 218357: evaluate (sqrt289)^-3. express your answer as a fraction
Answer by jim_thompson5910(21685) About Me  (Show Source):
You can put this solution on YOUR website!
Remember that x%5E%28-2%29=1%2Fx%5E2 or 1%2Fx%5E%28-2%29=x%5E2%2F1=x%5E2. I.e. just flip the fraction to rewrite with a positive exponent.


So %28sqrt%28289%29%29%5E%28-3%29=%2817%29%5E%28-3%29=1%2F%2817%5E3%29=1%2F4913


This means that %28sqrt%28289%29%29%5E%28-3%29=1%2F4913