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In the image, you're working on a MathXL for School assignment where you are asked to identify which expressions have a value less than 1.

The provided expressions are:

- \( C. \ \frac{3}{3^2} \)
- \( D. \ \frac{1}{3^{-3}} \)

Let's analyze these:

1. \( \frac{3}{3^2} \)
   - Simplification: \( \frac{3}{3^2} = \frac{3}{9} = \frac{1}{3} \)
   - Since \( \frac{1}{3} = 0.333... \), this value is less than 1.

2. \( \frac{1}{3^{-3}} \)
   - Simplification: \( 3^{-3} = \frac{1}{3^3} = \frac{1}{27} \)
   - This results in \( \frac{1}{\frac{1}{27}} = 27 \), which is greater than 1.

Therefore, only expression \( C \) has a value less than 1.

Would you like more details or have any questions?

Here are five related questions you might find useful:
1. What is the general rule for evaluating negative exponents?
2. How do fractions with powers affect the final value of an expression?
3. Can you explain how to simplify expressions with both positive and negative exponents?
4. How can you tell if a fraction’s value is greater or less than 1?
5. How do you compare powers and their inverses?

**Tip:** Remember, for negative exponents, flipping the fraction turns the exponent positive.

Which expressions have a value less than 1?

Learn how to identify which mathematical expressions have values less than 1 by simplifying fractions and applying the rules of exponents. This step-by-step solution is suitable for Grade 7 students working on MathXL for School assignments.

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