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# Lecture 1.5 bt

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### Transcript

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