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📚 Topic Summary
Exponents are a way of expressing repeated multiplication. For example, $2^3$ means $2 \times 2 \times 2$, which equals 8. Evaluating exponents involves calculating the value of a number raised to a certain power. Understanding exponents is crucial for algebra and more advanced math topics. This worksheet will give you a chance to practice these skills!
When evaluating exponents, remember these key rules: Any number to the power of 0 is 1 (except 0 itself), and any number to the power of 1 is the number itself. Negative exponents indicate reciprocals: $x^{-n} = \frac{1}{x^n}$.
🧮 Part A: Vocabulary
Match each term with its correct definition:
| Term | Definition |
|---|---|
| 1. Base | A. The number of times the base is multiplied by itself. |
| 2. Exponent | B. A way of expressing repeated multiplication. |
| 3. Power | C. The number being multiplied. |
| 4. Exponential Notation | D. The result of raising a base to an exponent. |
| 5. Evaluate | E. To find the numerical value. |
Match the terms with the definitions, for example: 1-C, 2-A, etc.
✍️ Part B: Fill in the Blanks
Complete the following sentences using the words from the word bank: base, exponent, power, evaluate, zero.
- The number being multiplied is called the __________.
- The __________ tells you how many times to multiply the base by itself.
- Any number raised to the __________ power (except 0) is equal to 1.
- To __________ means to find the numerical value.
- The result of raising a base to an exponent is called the __________.
🤔 Part C: Critical Thinking
Explain in your own words why any non-zero number raised to the power of 0 is equal to 1. Provide an example to support your explanation.
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