Answer
$-\frac{1}{27x^{3}}$
Work Step by Step
According to the negative exponent rule, $a^{-n}=\frac{1}{a^{n}}$.
Therefore, $(-3x)^{-3}=\frac{1}{(-3x)^{3}}=\frac{1}{(-3)^{3}x^{3}}=\frac{1}{-27x^{3}}=-\frac{1}{27x^{3}}$.
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