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

\)

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25-01-2017
Mathematics

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

\)

Verified Answer :

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David1993 David1993 · Answer 1 · 2017-01-25T16:19:38-05:00

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

Verified Answer :

Related Questions

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

\)