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Exponents and Their Applications

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Learn about exponents, how to read them, find base and exponent, and expand forms for multiplication. Practice critical thinking and growth factor concepts.

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Exponents and Their Applications

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  1. Exponents

  2. Location of Exponent • An exponent is a little number high and to the right of a regular or base number. Exponent 3 4 Base

  3. Definition of Exponent • An exponent tells how many times a number is multiplied by itself. Exponent 3 4 Base

  4. What an Exponent Represents • An exponent tells how many times a number is multiplied by itself. 4 = 3 x 3 x 3 x 3 3

  5. How to read an Exponent • This exponent is read three to the fourth power. Exponent 3 4 Base

  6. How to read an Exponent • This exponent is read three to the 2nd power or three squared. Exponent 3 2 Base

  7. How to read an Exponent • This exponent is read three to the 3rd power or three cubed. Exponent 3 3 Base

  8. Read These Exponents 3 2 6 7 2 3 5 4

  9. What is the Exponent? 3 2 x 2 x 2 = 2

  10. What is the Exponent? 2 3 x 3 = 3

  11. What is the Exponent? 4 5 x 5 x 5 x 5 = 5

  12. What is the Base and the Exponent? 4 8 x 8 x 8 x 8 = 8

  13. What is the Base and the Exponent? 5 7 x 7 x 7 x 7 x 7 = 7

  14. What is the Base and the Exponent? 9 x 9 = 9 2

  15. EXPANDED FORM 2³ = 2 x 2 x 2 factors

  16. STANDARD FORM 2³ = 2 x 2 x 2 4x 2 8

  17. POWERSAND EXPONENTS 4³ 4 x 4 x 4 64 7² 7 x 7 49 5 m mm m m m

  18. How to Multiply Out an Exponent to Find theStandard Form 4 3 = 3 x 3 x 3 x 3 9 27 81

  19. What is the Base and Exponentin Standard Form? 2 4 16 =

  20. What is the Base and Exponentin Standard Form? 3 2 8 =

  21. What is the Base and Exponentin Standard Form? 2 3 9 =

  22. What is the Base and Exponentin Standard Form? 3 5 125 =

  23. What is the value of m² + n³, if m=4 and n =5? 4² + 5³ 4 x 4 + 5 x 5 x 5 16 + 5 x 5 x 5 16 + 25 x 5 16 + 125 141

  24. CRITICAL THINKING: Exponent Form Expanded Form Standard Form 10² 10 x 10 100 10³ 10 x 10 x 10 1000 4 10 x 10 x 10 x10 10000 10 20 How could you find 10 without using a calculator?

  25. A light year is the distance light travels in one year. The Milky Way galaxy is about 100,000 light years wide. Write 100,000 as a power with 10 as the base. 5 10

  26. Growth Factor and Growth Rate Growth Factor – The constant factor that each value in an exponential pattern is multiplied by to get the next value Growth Rate – The percent increase in an exponential pattern.

  27. Homework Page 16, #8-10 Page 21, #22-31, 35-40 Page 22, #45-47

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