Negative Exponents Worksheet (printable, online, answers, examples) - Free Printable

It looks like the image contains a worksheet titled "Negative Exponents", and it asks you to evaluate expressions with negative exponents. However, there's a small confusion: all the exponents listed are positive, not negative.

Let’s go through each expression carefully and evaluate them correctly based on exponent rules, assuming the task is to evaluate these positive exponent expressions (since negative exponents aren't actually present in the list).

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🔢 Recall:

For any non-zero number $ a $ and integer $ n $:
- $ a^{-n} = \frac{1}{a^n} $
- But here, all exponents are positive, so we just compute the powers directly.

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✔ Evaluate Each Expression:

#### Left Column:

1. $ 2^3 = 2 \times 2 \times 2 = 8 $
2. $ 6^2 = 6 \times 6 = 36 $
3. $ 5^2 = 5 \times 5 = 25 $
4. $ 10^3 = 10 \times 10 \times 10 = 1000 $
5. $ 3^3 = 3 \times 3 \times 3 = 27 $
6. $ 4^2 = 4 \times 4 = 16 $
7. $ 7^2 = 7 \times 7 = 49 $
8. $ 8^2 = 8 \times 8 = 64 $
9. $ 10^2 = 10 \times 10 = 100 $

#### Right Column:

1. $ 3^2 = 3 \times 3 = 9 $
2. $ 2^2 = 2 \times 2 = 4 $
3. $ 9^2 = 9 \times 9 = 81 $
4. $ 1^3 = 1 \times 1 \times 1 = 1 $
5. $ 5^3 = 5 \times 5 \times 5 = 125 $
6. $ 2^4 = 2 \times 2 \times 2 \times 2 = 16 $
7. $ 4^3 = 4 \times 4 \times 4 = 64 $
8. $ 10^4 = 10 \times 10 \times 10 \times 10 = 10,000 $
9. $ 11^2 = 11 \times 11 = 121 $

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✔ Final Answers:

| Expression | Value |
|----------|-------|
| $ 2^3 $ | 8 |
| $ 6^2 $ | 36 |
| $ 5^2 $ | 25 |
| $ 10^3 $ | 1000 |
| $ 3^3 $ | 27 |
| $ 4^2 $ | 16 |
| $ 7^2 $ | 49 |
| $ 8^2 $ | 64 |
| $ 10^2 $ | 100 |
| $ 3^2 $ | 9 |
| $ 2^2 $ | 4 |
| $ 9^2 $ | 81 |
| $ 1^3 $ | 1 |
| $ 5^3 $ | 125 |
| $ 2^4 $ | 16 |
| $ 4^3 $ | 64 |
| $ 10^4 $ | 10,000 |
| $ 11^2 $ | 121 |

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📌 Note:

Even though the title says "Negative Exponents", none of the given expressions have negative exponents. If the intent was to practice negative exponents, the expressions should have been like $ 2^{-3} $, $ 5^{-2} $, etc., which would be evaluated as:
$$
a^{-n} = \frac{1}{a^n}
$$
For example:
- $ 2^{-3} = \frac{1}{2^3} = \frac{1}{8} $

But since all exponents here are positive, we simply computed the standard powers.

Let me know if you'd like the same problems rewritten with negative exponents for practice!