To calculate \((-6)^{-3}\), you can use the property of exponents that states \(a^{-n} = \frac{1}{a^n}\).
Therefore:
\[ (-6)^{-3} = \frac{1}{(-6)^3} \]
Now, calculate \((-6)^3\):
\[ (-6)^3 = (-6) \times (-6) \times (-6) = 36 \times (-6) = -216 \]
Now, substitute back:
\[ (-6)^{-3} = \frac{1}{-216} = -\frac{1}{216} \]
Thus, the final answer is:
\[ (-6)^{-3} = -\frac{1}{216} \]