SOLUTION: Simplify 512 to the power of negative 5/3

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Question 1094860: Simplify 512 to the power of negative 5/3
Found 2 solutions by basharat18, ikleyn:
Answer by basharat18(4) About Me  (Show Source):
You can put this solution on YOUR website!
512 = (8) raise to power 3.
(512)^5/3= ((8)^3*5/3)
= 8 raise to power 5 ( because 3 got cancel with 3)
=32768 answer.

Answer by ikleyn(52810) About Me  (Show Source):
You can put this solution on YOUR website!
.
512 = 8^3.

(512)^(5/3) = ((8^3)^(5/3))  =
            = 8^5            =
            =32768.


==========>     512^(-5/3) = 1/32768.


Answer.  512^(-5/3) = 1/32768.