SOLUTION: How do you simplify 1/8^5/3 to get 1/32.

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Question 971269: How do you simplify 1/8^5/3 to get 1/32.
Found 2 solutions by khai, MathTherapy:
Answer by khai(18) About Me  (Show Source):
You can put this solution on YOUR website!
(1)/ [8^(5/3)]
=(1)/[2^3(5/3)] ---- {2^3 is equal to 8 and you can multiply the exponent}
=(1)/[2^5] ---- {3 from neu and deno cancel each other out}
=1/32 {2^5 is equal to 32;;;; }

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!

How do you simplify 1/8^5/3 to get 1/32.
%281%2F8%29%5E%285%2F3%29 -------> %28root%283%2C+1%2F8%29%29%5E5 --------> %281%2F2%29%5E5 ------> 1%5E5%2F2%5E5 ------> highlight_green%281%2F32%29