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Notes #5

Notes #5. Exponents. Vocabulary. Powers- repeated multiplication of a number. Exponent- tells how many times to use the base as a factor. Base- the number being multiplied in a power.

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Notes #5

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  1. Notes #5 Exponents

  2. Vocabulary Powers- repeated multiplication of a number. Exponent-tells how many times to use the baseas a factor. Base- the number being multiplied in a power

  3. Repeated multiplication can also be written as a power, using a base and an exponent. The exponent tells how many times to use the baseas a factor. 4 2 Base Exponent Reading Math Read 24 as “the fourth power of 2” or “2 to the fourth power.”

  4. Additional Example 1: Evaluating Powers Find each value. A. 44 Use 4 as a factor 4 times. 44 = 4 · 4 · 4 · 4 = 256 B. 73 Use 7 as a factor 3 times. 73 = 7 · 7 · 7 = 343 C. 191 191 = 19 Use 19 as a factor 1 time.

  5. Any number to the zero power, except zero is equal to 1. 60 = 1 100 = 1 190 = 1 Zero to the zero power is undefined, meaning that it does not exist.

  6. To express a whole number as a power, write the number as a product of equal factors. Then write the product using the base and an exponent. Factor Form For example, 10,000 = 10 · 10 · 10 · 10 = 104. Standard Form to Exponential Form Standard Form Exponential Form

  7. Additional Example 2: Expressing Whole Numbers as Powers Write each number using an exponent and the given base. A. 625, base 5 5 is used as a factor 4 times. 625 = 5 · 5 · 5 · 5 = 54 B. 64, base 2 2 is used as a factor 6 times. 64 = 2 · 2 · 2 · 2 · 2 · 2 = 26

  8. Copy this table into your notes. Laws of Exponents

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