To evaluate $3^{-3}$, we use the property of negative exponents, which states that $a^{-n} = \frac{1}{a^n}$.

Thus:

$3^{-3} = \frac{1}{3^3}$

Next, we calculate $3^3$:

$3^3 = 3 \times 3 \times 3 = 27$

So:

$3^{-3} = \frac{1}{27}$

The answer is $\frac{1}{27}$.

Would you like any details or have any questions? Here are some related questions:

1. How do you evaluate $4^{-2}$?
2. What is the value of $5^{-1}$?
3. How do you simplify $2^{-4}$ as a fraction?
4. What is the reciprocal of $3^3$?
5. Can you evaluate $10^{-3}$ without using a calculator?

Tip: Understanding negative exponents as reciprocals helps simplify many problems involving powers.