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Exponents

Learn about exponents, their role in multiplication, and how they are used to calculate area and volume in various scenarios. Explore examples and practice converting expressions into standard form.

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Exponents

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  1. Exponents By Monica Yuskaitis

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

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

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

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

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

  20. Exponents Are Often Used inArea Problems to Show theFeet Are Squared Length x width = area A pool is a rectangle Length = 30 ft. Width = 15 ft. Area = 30 x 15 = 450 ft. 15ft. 30ft 2

  21. Exponents Are Often Used inVolume Problems to Show theCentimeters Are Cubed Length x width x height = volume A box is a rectangle Length = 10 cm. Width = 10 cm. Height = 20 cm. Volume = 20 x 10 x 10 = 2,000 cm. 10 10 10 3

  22. Here Are Some AreasChange Them to Exponents 2 40 feet squared = 40 ft. 56 sq. inches = 56 in. 38 m. squared = 38 m. 56 sq. cm. = 56 cm. 2 2 2

  23. Here Are Some VolumesChange Them to Exponents 3 30 feet cubed = 30 ft. 26 cu. inches = 26 in. 44 m. cubed = 44 m. 56 cu. cm. = 56 cm. 3 3 3

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