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Powers and Exponents: Learn to Write in Exponential Form

This lesson teaches how to write numbers in exponential form using powers and exponents. It covers topics such as factors, exponents, base, squared, cubed, evaluating expressions, and writing in exponential form.

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Powers and Exponents: Learn to Write in Exponential Form

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  1. Transparency 2 Click the mouse button or press the Space Bar to display the answers.

  2. Splash Screen

  3. Example 2-1a Objective Use powers and exponents

  4. Example 2-1a Vocabulary factors Two or more numbers that are multiplied together to form a product

  5. Example 2-1a Vocabulary exponent Tells how many times the base is used as a factor 43 3 is the exponent and would multiply the base (4) three times 4 · 4 · 4

  6. Example 2-1a Vocabulary base The common factor 43 4 is the common factor (base)

  7. Example 2-1a Vocabulary powers Number expressed using exponents 43 3 is the exponent

  8. Example 2-1a Vocabulary squared The base is multiplied 2 times 42

  9. Example 2-1a Vocabulary cubed The base is multiplied 3 times 43

  10. Example 2-1a Vocabulary evaluate To find the value of 34 = 3  3  3  3 81

  11. Example 2-1a Vocabulary Standard form Numbers written without exponents 34 = 3 · 3 · 3 · 3

  12. Example 2-1a Vocabulary Exponential form Numbers written with exponents 34 = 3 · 3 · 3 · 3

  13. Lesson 2 Contents Example 1Write Powers as Products Example 2Write Powers as Products Example 3Write Powers in Standard Form Example 4Write Powers in Standard Form Example 5Write Numbers in Exponential Form

  14. Write as a product of the same factor. Example 2-1a 84 Write the problem Write the base which is 8 8  8 8  8 Product means multiply Multiply the base times itself according to the exponent which is 4 Answer: 1/5

  15. Write as a product of the same factor. Example 2-1b Answer: 3  3 3  3  3  3 1/5

  16. Write as a product of the same factor. Example 2-2a 46 Write the problem Write the base which is 4 4  4 4  4  4  4 Product means multiply Multiply the base times itself according to the exponent which is 6 Answer: 4  4 4  4  4  4 2/5

  17. Write as a product of the same factor. Example 2-2b Answer: 7  7 7 2/5

  18. Evaluate the expression Example 2-3a Write the problem 83 Use the calculator to evaluate Put the base in the calculator which is 8 8 [yx ] 3 [ = ] Push the yx key Answer: 512 Put the exponent in the calculator which is 3 Push the equal sign = 3/5

  19. Evaluate the expression Example 2-3b Answer: 256 3/5

  20. Evaluate the expression Example 2-4a Write the problem 64 Use the calculator to evaluate Put the base in the calculator which is 6 6 [yx ] 4 [ = ] Push the yx key 1,296 Put the exponent in the calculator which is 4 Push the equal sign = Answer:1,296 4/5

  21. Evaluate the expression Example 2-4b Answer:3,125 4/5

  22. Write in exponential form. Example 2-5a 9  9 9  9  9  9 Write the problem 9 is being repeated so write 9 as your base 9 96 Count how many 9’s are used There are 6 nines so write 6 as your exponent Answer: 96 5/5

  23. Write in exponential form. Example 2-5b * Answer: 35 5/5

  24. End of Lesson 2 Assignment

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