Evaluate. Write your answer as a fraction or whole number without exponents.

3–3 

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.

Evaluate. Write your answer as a fraction or whole number without exponents.

3^{-3}

Learn how to evaluate the expression 3^{-3} by applying the concept of negative exponents. This detailed solution explains the reciprocal theorem and guides you through converting the expression to a fraction. Perfect for students in Grades 6-8.

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