SOLUTION: How would you put this into radical form: (8x)2/3.

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Question 487734: How would you put this into radical form: (8x)2/3.

Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
(8x)^(2/3) is equal to ((8x)^(1/3))^2
you get the cube root of (8x) and then you square it.
in radical form, this would be shown as:
%28root%283%2Cx%29%29%5E2
(8x)^(2/3) is also equal to ((8x)^2)^(1/3)
you square (8x) and then you take the cube root of it.
in radical form, this would be shown as:
root%283%2Cx%5E2%29
you'll get the same answer either way.
assume x = 27
the first form gets the cube root of 27 which is equal to 3 and then squares that to get 9.
the second form squares 27 to get 729 and then takes the cube root of that to get 9.