SOLUTION: Rational exponents:text states:rewrite each expression with a positive rational exponent, simplfy if possiable- proble # 48 (8/125)^-1/3 I cant figure it out thanks Tammy

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Question 63662This question is from textbook introductory and intermediate algebra
: Rational exponents:text states:rewrite each expression with a positive rational exponent, simplfy if possiable- proble # 48 (8/125)^-1/3
I cant figure it out thanks Tammy This question is from textbook introductory and intermediate algebra

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Rewrite with a positive exponent and simplify:
%288%2F125%29%5E%28-1%2F3%29+=+1%2F%288%2F125%29%5E%281%2F3%29 This can be simplified:
1%2F%288%2F125%29%5E%281%2F3%29+=+%28125%2F8%29%5E%281%2F3%29 = %28%28125%29%5E%281%2F3%29%29%2F%288%29%5E%281%2F3%29 Taking the cube root of the top and the bottom:
%28125%29%5E%281%2F3%29+=+5 and
%288%29%5E%281%2F3%29+=+2
So, %288%2F125%29%5E%28-1%2F3%29+=+5%2F2 = 2.5