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Today we will compute positive integer powers of nonnegative integers .

Today we will compute positive integer powers of nonnegative integers. compute = to solve positive integer = whole numbers greater than zero nonnegative integers = positive numbers. Positive integer- a whole number greater than 0. Examples of positive integers:

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Today we will compute positive integer powers of nonnegative integers .

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  1. Today we will compute positive integer powers of nonnegativeintegers. compute= to solve positive integer = whole numbers greater than zero nonnegative integers = positive numbers

  2. Positive integer- a whole number greater than 0. Examples of positive integers: 1 5 19 1,008 1,500,609,433 Non examples of positive integers: -1 -5 -19 ½ 1.5 -1.909

  3. Nonnegative integer- a whole number greater than 0. Examples of nonnegative integers are: 1 50 600 7,000 8,000,454,099 Non examples on nonnegative integers: -1 -1.5 -1,009,857 -1/2

  4. Power or Exponent- a mathematical notation indicating the number of times a quantity is multiplied by itself. Examples of power or exponent: Non examples of power or exponents: 10 -210 ½ ¼ 1.5 -4.5

  5. Exponent Base The exponent is sometimes referred to as the power. • 46

  6. - Name the following What’s this? What’s this? 2 4

  7. What is the meaning of 46 ? • 46 means to multiply the base 4 by itself 6 times.

  8. 4 Exponential Form 3 3 1 3 3 Expanded Form 3 x 3 x 3 x 3 2 4 3 3 Multiply 3x3x3x3 = 81 Standard Form 81

  9. It is important to know how to compute exponents because they are used when finding the area of certain places. It is on your grade level standards probably all the way until you graduate 12th grade What other reasons can you think of why it is important to compute exponents?

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

  11. 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

  12. How to multiply out an Exponent to find theStandard Form 4 3 = 3 x 3 x 3 x 3 9 27 81

  13. Write the Power in Standard Form 2 4 16 = 4 x 4 = 16 Make sure that you do notread this question as 4 x 2.

  14. Write the Power in Standard Form 3 2 8 = 2 x 2 x 2 = 4 x 2 = 8 How did you do?

  15. Write the Power in Standard Form 2 3 9 = 3 x 3 = 9 Again, make sure that you do notread this question as 3 x 2.

  16. You try these . . . 49 • 72 • 54 625

  17. Write as the product? 2 3 3 x 3 = 9

  18. Write as the Product? 5 5 5 x 5 x 5 x 5 = 3125

  19. So What did we learn? An exponent tells how many times a number is multiplied by itself. What is an exponent? 2 Write in standard form? 5 5x5 3

  20. Congratulations, now you know a little more about exponents. The End

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