To simplify the expression $-3^{-3} / 6^{-2}$, follow these steps:

1. Apply the negative exponents: $a^{-n} = \frac{1}{a^n}$ So: $-3^{-3} = -\frac{1}{3^3} = -\frac{1}{27}$ and $6^{-2} = \frac{1}{6^2} = \frac{1}{36}$

2. Rewrite the expression: $\frac{-1/27}{1/36}$

3. Divide the fractions: To divide by a fraction, multiply by its reciprocal: $\frac{-1}{27} \times \frac{36}{1} = \frac{-1 \times 36}{27 \times 1} = \frac{-36}{27}$

4. Simplify: $\frac{-36}{27} = -\frac{36}{27} = -\frac{4}{3}$

The simplified expression is: $\boxed{-\frac{4}{3}}$

Would you like further details or explanations?

Here are 5 related questions:

1. How do you simplify expressions with negative exponents?
2. What is the rule for dividing fractions?
3. How