SOLUTION: 1st of all, sorry about the previous question, i was looking in the wrong section, i found something similar in the square root section and understand better now. ok, I have to sim

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: 1st of all, sorry about the previous question, i was looking in the wrong section, i found something similar in the square root section and understand better now. ok, I have to sim      Log On


   

Question 7150: 1st of all, sorry about the previous question, i was looking in the wrong section, i found something similar in the square root section and understand better now. ok, I have to simplify 243 to the power of - 2/5, i can get as far as 1 divided by 5th root of 243 to the power of 2, but after that my mind goes blank. the answer given is 1/9 and i need help working out how they got that. thank you in advance
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Well, your first step is ok:

%28243%29%5E%28-2%2F5%29 = 1%2F%28243%29%5E%282%2F5%29
Finding the square of a number is relatively easy.
Finding the fifth root of a number isn't. But you can do both with your calculator.
Type in 243 then ^ then (2/5) then hit the enter or = key.
You should get: %28243%29%5E%282%2F5%29+=+9
So the answer of 1/9 is correct.