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# Lecture 1.5 bt

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### Lecture 1.5 bt

1. 1. Today’s Agenda • Attendance / Announcements • Questions from HW? • Quiz Tomorrow (1.3 – 1.5) • Section 1.5 Exponents and Radicals
2. 2. Exponents…continued More Properties of Integer Exponents
3. 3. Exponents…continued More Properties of Integer Exponents
4. 4. Simplify…
5. 5. Simplify…(a lil‟ trick.) 5 2 2 16 3 3 9 27
6. 6. Exponents…continued More Properties of Integer Exponents
7. 7. Simplify…
8. 8. Exponents…continued Negative Exponents We usually want our answers to be written only in Positive Exponents…So we need to rewrite.
9. 9. Simplify…
10. 10. Exponents…continued Negative Exponents
11. 11. Simplify… 2 2 y x 2 3 4 3 z yx
12. 12. ¡CHALLENGE ! 43231 34 xx
13. 13. ¡CHALLENGE ! 3 24 23 5 y x x x
14. 14. Properties of Exponents • You‟ll need to know the entire list on page 41.
15. 15. Classwork…Part I • Page 46 1 – 21 every other odd 43 – 49 odd ...Ask questions if you have „em!
16. 16. Rational Exponents  Radicals You can think of fraction exponents as radicals…and vice versa
17. 17. Rational Exponents (p. 44) So, if n is an even integer and a ≥ 0; or if n is odd, then n aan 1 When dealing with radicals/roots, we always need to think about…
18. 18. Rational Exponents  Radicals And if the root exists… n m aan m An example of when the root doesn’t exist…
19. 19. Rewrite in radical notation 3 2 x 4 3 )3( y
20. 20. Rewrite in exponent notation 5 x 3 7 3 3 x
21. 21. Rational Exponents  Radicals Another Way to simplify 5 2 32
22. 22. Properties of Radicals (p. 44) Radicals can be separated across multiplication and division.
23. 23. Properties of Radicals We use these properties when we simplify roots. 72
24. 24. Properties of Radicals 80245205 Remember, we can only add “like” terms
25. 25. Properties of Radicals 2353
26. 26. Classwork / Homework •Page 34 1 – 87 every other odd ...Ask questions if you have „em!