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Published bySylvia McLaughlin Modified over 7 years ago

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Powers and Exponents Objective: Learn to use powers and exponents.

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Two or more numbers that are multiplied together to form a product are called factors. Ex. 2 × 2 × 2 × 2 = 16 5 × 5 × 5 = 125 When the same factor is used several times, you may write it using exponents.

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The exponent tells how many times the base is used as a factor. base The common factor is called the base 2 exponent factors base For example: 2× 2 × 2 × 2 = 2 4 exponent factors base Numbers that use exponent are also called powers.

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Example: Write each power as a product of the same factor (Or write each power in expanded form.) 7 7 5 = 7 × 7 × 7 × 7 × 7 Seven is used as a factor 5 times. Your Example: 9 5 = Example 2: 5 3 = Example 3: 8 7 =

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You can evaluate or find the value of powers by multiplying the factors. You can evaluate or find the value of powers by multiplying the factors. 2 2 5 = 2 × 2 × 2 ×2 × 2 = 32 Numbers written without exponents are in standard form (or the final answer after you multiply the factors.) Examples: 4 3 = 10 2 = 3 5 =

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Powers - Words 52525252 43434343 24242424 Five to the second power or Five squared Four to the third power or four cubed Two to the fourth power.

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When they ask you to write it in exponential form …. When they ask you to write it in exponential form…. 3 4 3 × 3 × 3 × 3 = 3 4 9× 9 × 9 = 1 × 1 × 1× 1 × 1 = 6 × 6 × 6 × 6 =

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Homework: Write each power in Evaluate each expression. Write each power in Evaluate each expression. expanded form. (Answer in standard form) expanded form. (Answer in standard form) 1. 1 5 7. 2 6 2. 4 2 8. 4 3 3. 3 8 9. 7 4 4. 8 6 10. 4 6 5. 9 3 11. 1 10 6. 10 4 12. 10 1

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