1. Chapter 5.7: Rational Exponents Standard & Honors
Algebra II Mr. Gilbert
Chapter 5.7: Rational Exponents
Standard & Honors
9/19/2018

2. Agenda Warm-up (next slide) Lesson 9.2 Questions and comments
Check your answers
Lesson 9.2
Questions and comments
9/19/2018

3. Warm-up 5.7 (3 min.) Use a calculator if you want
simplify these expressions:
(x2)(x3)
(62)(63)
(x2)3
(42)3
(-5x2y3)2
52/56
9/19/2018

4. Warm-up 5.7 (3 min.) Use a calculator if you want
simplify these expressions:
(x2)(x3) = x5
(62)(63) = 65
(x2)3 = x6
(42)3 = 46
(-5x2y3)2 = 25x4y3
52/56 = 1/54
9/19/2018

5. Gravity: Newton and the Pirates
9/19/2018

6. 5-7 Rational Exponents Example 1 Radical Form (1)
Example 2 Exponential Form (2)
Example 3 Evaluate Expressions with Rational Exponents (5)
Example 4 Rational Exponent with Numerator Other Than 1 (3)
Example 5 Simplify Expressions with Rational Exponents (2)
Example 6 Simplify Radical Expressions (5)
9/19/2018
Lesson 7 Contents

7. Example 1 Definition Write in radical form. Answer: Definition of
9/19/2018
Example 7-1b

8. Example 2 Definition Write using rational exponents. Answer:
Definition of
Answer:
9/19/2018
Example 7-2a

9. Write using rational exponents.
Definition of
Answer:
9/19/2018
Example 7-2b

10. !
Technique
Evaluate
Method 1
Answer:
Simplify.
9/19/2018
Example 7-3a

11. Method 2 Power of a Power Multiply exponents. Answer: ! 9/19/2018
Example 7-3b

12. Evaluate . Method 1 Factor. Power of a Power Expand the square.
Find the fifth root.
Answer: The root is 4.
9/19/2018
Example 7-3c

13. Method 2 Power of a Power Multiply exponents. Answer: The root is 4.
9/19/2018
Example 7-3d

14. Evaluate each expression. a.b.
Answer:
Answer: 8
9/19/2018
Example 7-3e

15. Answer: The formula predicts that he can lift at most 372 kg.
Weight Lifting The formula can be used to estimate the maximum total mass that a weight lifter of mass B kilograms can lift in two lifts, the snatch and the clean and jerk, combined.
According to the formula, what is the maximum that U.S. Weightlifter Oscar Chaplin III can lift if he weighs 77 kilograms?
Original formula
Use a calculator.
Answer: The formula predicts that he can lift at most 372 kg.
9/19/2018
Example 7-4a

16. Weight Lifting The formula
Weight Lifting The formula can be used to estimate the maximum total mass that a weight lifter of mass B kilograms can lift in two lifts, the snatch and the clean and jerk, combined.
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.
9/19/2018
Example 7-4b

17. Weight Lifting Use the formula where M is the maximum total mass that a weight lifter of mass B kilograms can lift.
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.
Answer: 380 kg
Answer: The formula prediction is slightly higher than his actual total.
9/19/2018
Example 7-4c

18. Simplify .
Multiply by
Answer:
9/19/2018
Example 7-5b

19. Simplify each expression. a.b.
Answer:
Answer:
9/19/2018
Example 7-5d

20. Simplify .
Rational exponents
Power of a Power
9/19/2018
Example 7-6a

21. Quotient of Powers
Answer:
Simplify.
9/19/2018
Example 7-6b

22. Simplify . Rational exponents Power of a Power Multiply. Answer:
9/19/2018
Example 7-6c

23. Simplify . is the conjugate of Answer: Multiply. 9/19/2018
Example 7-6d

24. Simplify each expression. a.b. c.
Answer: 1
Answer:
Answer:
9/19/2018
Example 7-6e

25. Homework Review
9/19/2018

26. Homework See Syllabus 5.7 pp. 261-262: 6,7, 21 - 63 multiples of 3
9/19/2018

27. Homework - Honors See Syllabus 5.7
pp : (multiples of 3), 67-70
9/19/2018