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Example 7-1a

Write in radical form. Definition of. Answer:. Example 7-1a. Write in radical form. Definition of. Answer:. Example 7-1b. Write each expression in radical form. a. b. Answer:. Answer:. Example 7-1c. Write using rational exponents. Answer:. Definition of. Example 7-2a.

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Example 7-1a

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

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

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

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

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

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

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

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

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

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

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

  12. 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.

  13. 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.

  14. 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.

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

  16. Simplify . Multiply by Example 7-5b

  17. Answer: Example 7-5c

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

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

  20. Quotient of Powers Answer: Simplify.

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

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

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

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