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Rational Exponents

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

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Rational Exponents

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1. Rational Exponents

2. Rational Exponents

3. Rational Exponents

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

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

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

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

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

14. 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.

15. 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.

16. 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.

18. Simplify . Multiply by Example 7-5b