celismelanie celismelanie
  • 25-01-2017
  • Mathematics
contestada

find the solution for m such that:[tex] \frac{1}{ \sqrt[3]{ x^{2} } } = x^{m}

[/tex]

Respuesta :

David1993
David1993 David1993
  • 25-01-2017
Let's raise the exponent three on both sides of the equation.

1/x^2 = (x^m)^3

1/x^2 = x^(3m)

1 = x^2.x^(3m)

1 = x^(2+3m)

X^(2+3m) = 1

For this to be true:

2+3m = 0

3m = -2

m = -2/3
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