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7.1 Zero and Negative Exponents

7.1 Zero and Negative Exponents. Standard: SWBAT understand and use the rules of exponents. Mini Quiz 32. Write in Standard Notation: 3.78 x 10 -4 Write in Scientific Notation: 3480.21 Write in Scientific Notation: 13.8 x 10 3. Quick Review.

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7.1 Zero and Negative Exponents

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  1. 7.1 Zero and Negative Exponents Standard: SWBAT understand and use the rules of exponents

  2. Mini Quiz 32 • Write in Standard Notation: 3.78 x 10-4 • Write in Scientific Notation: 3480.21 • Write in Scientific Notation: 13.8 x 103

  3. Quick Review 1. How do you change from Scientific Notation to Standard Notation? Look at the exponent; positive – zeros at the end, negative – zeros in front 2. How do you change from Standard Notation to Scientific Notation? Look at the number; big (>1) – positive exponent; small (<1) – negative exponent

  4. Overview • Simplify exponents to the zero power • Simplify negative exponents

  5. Zero Exponents 27 8 1 9 4 1 3 2 1 Any number evaluated to the “0” exponent is equal to ____. (However, this does not apply to 00, can you figure why?) 1 1 1 1

  6. Negative Exponents What is the rule to evaluating a number to a negative exponent? How can you apply this rule to x-1? How about ? 1 1 1 Flip It! (and the exponent becomes positive)

  7. Simplifying Exponents Simplifying means: No Zero or Negative Exponents!

  8. Simplify the following expressions: 1 x5 16 -n3p6 1

  9. Practice Problems 1. 2-2 ¼ 2. (-2)0 1 3. 5-x 1/5x 4. (½)-1 2 5. 5(2-1) 5/2 6. 2x-2y-3 2/y3x2

  10. More Practice 7. x-5 1/x5 8. x5/2 9. x4y-7 x4/y7 10. x3y/9

  11. Wrap Up Power of Zero • Anything to the zero power is… Negative Exponents • To change a negative exponent to a positive exponent, you need to… HW: P. 331 #1-45 EOO, 95-107 EOO DLUQ: How do you change a negative exponent to a positive exponent?

  12. T2L Simplify 1. 2. 3. Explain in complete sentences how you simplify zero and negative exponents.

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