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  • 22-05-2019
  • Mathematics
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simplify (-6^1/3)^(-2)=

Respuesta :

carlosego
carlosego carlosego
  • 22-05-2019

For this case we must simplify the following expression:

([tex](-6 ^ {\frac {1} {3}}) ^ {- 2}[/tex]

So, by definition of power properties we have:

[tex]a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}[/tex]

Then, rewriting the expression:

[tex]\frac {1} {(- 6 ^ {\frac {1} {3}}) ^ 2} =\\\frac {1} {(- 6 ^ {\frac {1} {3}}) * (- 6 ^ {\frac {1} {3}})} =\\\frac {1} {(6 ^ {\frac {1} {3}}) * (6 ^ {\frac {1} {3}})} =\\\frac {1} {6 ^ {\frac {2} {3}}}[/tex]

ANswer:

[tex]\frac {1} {6 ^ {\frac {2} {3}}}[/tex]

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