Exponents are a shorthand way of writing repeated multiplication. For example, $2^3$ means 2 multiplied by itself three times (2 x 2 x 2), which equals 8. Understanding exponents is crucial for algebra and beyond! Exponent rules help simplify complex expressions. These rules allow us to perform operations like multiplication, division, and raising a power to another power, all while keeping the expressions in a manageable form.
Match the term to its definition:
| Term | Definition |
|---|---|
| 1. Base | A. The number of times the base is multiplied by itself. |
| 2. Exponent | B. A symbol (like x or y) that represents a number. |
| 3. Power | C. The number that is multiplied by itself when raised to an exponent. |
| 4. Variable | D. The result of raising a base to an exponent. |
| 5. Coefficient | E. A numerical factor in a term of an algebraic expression. |
(Match: 1-C, 2-A, 3-D, 4-B, 5-E)
Complete the following paragraph using the words: exponent, base, multiplication, power, zero.
An _________ tells you how many times to use the _________ in a _________. Any number raised to the _________ is 1, with the exception of 0. The result is known as the _________.
(Answers: exponent, base, multiplication, zero, power)
Explain in your own words why any non-zero number raised to the power of zero equals 1. Provide an example to illustrate your explanation.
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