SlideServe
Télécharger Obtenir Pro
Menu
Accueil Pro
Préférences
ApparenceLight Aide et commentaires
© SlideServe · v2026

Chapter 5 Section 7 Rational Exponents

aurora avatar
aurora
31 diapositives · 479 Views · Jul 31, 2014

Chapter 5 Section 7 Rational Exponents. Objectives: To write expressions with rational exponents in radical form and vice versa. To simplify expressions in exponential or radical form. Warm-up: Type 1 writing. 3 lines or more – 2 minutes

Chapter 5 Section 7 Rational Exponents - slide 1
01 / 31Chapter 5 Section 7 Rational Exponents
1 / 17

Télécharger la présentation

Chapter 5 Section 7 Rational Exponents
Une image / un lien ci-dessous est fourni (tel quel) pour télécharger la présentation

Politique de téléchargement : le contenu du site vous est fourni TEL QUEL pour votre information et votre usage personnel ; il ne peut être vendu, concédé sous licence ni partagé sur d’autres sites sans l’accord de son auteur.Le contenu vous est fourni TEL QUEL, pour votre information et votre usage personnel uniquement. Téléchargez la présentation en cliquant sur ce lien. Lors du téléchargement, si vous ne parvenez pas à télécharger une présentation, l’éditeur a peut-être supprimé le fichier de son serveur.Pendant le téléchargement, si vous ne parvenez pas à obtenir une présentation, le fichier a peut-être été supprimé par l’éditeur.

F I N

Plus de contenu associé

Transcription de la présentation

  1. Chapter 5 Section 7Rational Exponents Objectives: To write expressions with rational exponents in radical form and vice versa. To simplify expressions in exponential or radical form

  2. Warm-up: Type 1 writing 3 lines or more – 2 minutes Write two expressions with radicals, one that is simplified and one that is not. Explain the difference between the two.” 30 seconds Finish your thought.

  3. Warm-up: Type 1 writing 3 lines or more – 2 minutes Write two expressions with radicals, one that is simplified and one that is not. Explain the difference between the two.” Times up! Put your pencils down.

  4. Lesson 7 Contents Example 1Radical Form Example 2Exponential Form Example 3Evaluate Expressions with Rational Exponents Example 4Rational Exponent with Numerator Other Than 1 Example 5Simplify Expressions with Rational Exponents Example 6Simplify Radical Expressions

  5. Write in radical form. Definition of Answer: Example 7-1a

  6. Write in radical form. Definition of Answer: Example 7-1b

  7. Write each expression in radical form. a. b. Answer: Answer: Example 7-1c

  8. Write using rational exponents. Answer: Definition of Example 7-2a

  9. Write using rational exponents. Answer: Definition of Example 7-2b

  10. Write each radical using rational exponents. a. b. Answer: Answer: Example 7-2c

  11. Evaluate Method 1 Answer: Simplify. Example 7-3a

  12. Method 2 Power of a Power Multiply exponents. Answer: Example 7-3b

  13. Evaluate . Method 1 Factor. Power of a Power Expand the square. Find the fifth root. Example 7-3c Answer: The root is 4.

  14. Method 2 Power of a Power Multiply exponents. Example 7-3d Answer: The root is 4.

  15. Evaluate each expression. a. b. Answer: Example 7-3e Answer: 8

  16. Weight LiftingThe formula can be used toestimatethe maximum total mass that a weight lifter of mass B kilograms can lift in two lifts, the snatch and theclean and jerk, combined. Original formula Use a calculator. Example 7-4a According to theformula, what is the maximum that U.S. WeightlifterOscar Chaplin III can lift if he weighs 77 kilograms? Answer:The formula predicts that he can lift at most 372 kg.

  17. Weight LiftingThe formula can be used toestimatethe maximum total mass that a weight lifter of mass B kilograms can lift in two lifts, the snatch and theclean and jerk, combined. Example 7-4b Oscar Chaplin’s total in the 2000 Olympics was 355 kg. Compare this to the value predicted by the formula. Answer:The formula prediction is somewhat higher than his actual total.

  18. Weight LiftingUse the formula where M is the maximum total mass that a weight lifter of mass B kilograms canlift. a. According to the formula, what is the maximum that a weight lifter can lift if he weighs 80 kilograms? b. If he actually lifted 379 kg, compare this to the value predicted by the formula. Example 7-4c Answer:380 kg Answer:The formula prediction is slightly higher than his actual total.

  19. Practice – Adding/Multiplying Fractions

  20. Simplifying Rational Exponents • Has no negative exponents • Has no fractional exponents in the denominator • Is not a complex fraction • The index is the smallest number possible

  21. Simplify . Multiply powers. Answer: Add exponents. Example 7-5a

  22. Simplify . Multiply by Example 7-5b

  23. Answer: Example 7-5c

  24. Simplify each expression. a. b. Answer: Answer: Example 7-5d

  25. Simplify . Rational exponents Power of a Power Example 7-6a

  26. Quotient of Powers Answer: Simplify. Example 7-6b

  27. Simplify . Rational exponents Power of a Power Multiply. Answer: Simplify. Example 7-6c

  28. Simplify . is the conjugate of Answer: Multiply. Example 7-6d

  29. Simplify each expression. a. b. c. Answer: Answer: Example 7-6e Answer: 1

  30. End of Lesson 7