1. Warm Up Write down the best thing you did over the holiday break

2. Algebra 3 Chapter 7: POWERS, ROOTS, and RADICALS Lesson 1: nth roots and rational exponents

3. VOCAB

4. Rules N is odd then a has one root N is even and a > 0 then a has 2 real roots N is even and a = 0 then a has 1 real root and it is 0 N is even and a < 0 then a has 0 real roots but 2 imaginary roots

5. TODAY Today we will be learning how to write powers as exponential equations. In order to solve them you have to understand what they mean.

6. Directions (Writing Roots) Plug the numbers into the formula

7. I DO (Writing Roots) 1. n = 3a = 8 2. n = 5a = 7 3. n = 2a = 6 4. n = 9a = 12

8. WE DO (Writing Roots) 1. n = 6a = 98 2. n = 7a = 37 3. n = 3a = 7 4. n = 13a = 4

9. YOU DO (Writing Roots) 1. n = 5a = 86 2. n = 71a = 73 3. n = 21a = 64 4. n = 13a = 1296

10. Directions (Rewriting Problems) Use the formula to rewrite

11. I DO (Rewriting Problems)

12. WE DO (Rewriting Problems)

13. YOU DO (Rewriting Problems)

14. Review Today you learned how to rewrite radical expressions

15. Homework Worksheet – 7.1A (1 – 24)

16. Warm Up

17. Algebra 3 Chapter 7: POWERS, ROOTS, and RADICALS Lesson 1: nth roots and rational exponents

18. TODAY We will evaluate rationals by hand and in the calculator.

19. Directions (HAND) Think small to big. ROOT 123456 111111 2 48163264 392781243729 4166425610244096 525125625312515625 6362161296777646656 749343240116807117649

20. Special Directions When you have a negative exponent – Change the exponent to a positive – Flip the numerator and denominator AKA reciprocal EVEN POWERS NEED ± – EXCEPT when there is a negative out front

21. I DO (Hand)

22. WE DO (Hand)

23. YOU DO (Hand)

24. Directions (Calculator) Write the problem in exponent form Type in the calculator – Remember the ^ is for big powers – Remember you need parenthesis for negatives and fractions ROUND to 2 decimals

25. I DO (Calculator)

26. WE DO (Calculator)

27. YOU DO (Calculator)

28. Review What did you learn today?

29. Homework Worksheet – 7.1 (25 – 45)