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When I want to evaluate $6^{-2/3}$, I get $0.30285\ldots$

The correct answer is $-10$.

Am I breaking any rules?

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    $\begingroup$ Where did you find such an answer ? $\endgroup$ Feb 23 '14 at 9:38
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Your answer seems correct. There is no way you can take a positive number to an exponent and get a negative number.

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we have $$6^{-2/3}=\frac{1}{6^{2/3}}=\frac{1}{\sqrt[3]{36}}$$

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