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]
