Help plz!!

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Help plz!!

by Hmna » Wed May 03, 2017 2:33 am
If x> 0 satisfying 3√x / x = x^w then what will be the value of w

A) 2/3
B)-2/3
C)-3/2
D)3/2

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by GMATGuruNY » Wed May 03, 2017 3:19 am
I believe that the problem should read as follows:
Hmna wrote:If x>0 satisfying (∛x)/x = x^w then what will be the value of w

A) 2/3
B)-2/3
C)-3/2
D)3/2
∛x= = x^(1/3).

Thus:
(∛x)/x = x^w

[x^(1/3)]/x¹ = x^w

x^(1/3 - 1) = x^w

x^(-2/3) = x^w.

-2/3 = w.

The correct answer is B.
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