1.  Day 1 : Laws of Exponents Review Book sections 7.1 and 7.4 a 0 = 1 b -1 = (a m )(a n ) = a m + n = a m – n (ab) m = a m b m

2. Do not copy:

3.  Roots and Rational Exponents If Then New Law: Rational Exponents = 3

4.  Roots and Rational Exponents If Then New Law: Rational Exponents You may choose whether to find the root or the power first!

5. Simplify Exponents with Fractions 1. 2. 3.

6. You try on your marker board The teacher will show you 10 problems on the smart board. The student will rearrange the form of the equation from: Exponential to Radical or Radical to Exponential

7. Convert from Exponential to Radical (marker board) Everyone to marker board and work with your number partner

8. Convert from Radical to Exponential (marker board) Don’t simplify anything!

9. Back to Notes: Simplify Exponentials Assume all variables are positive 4. 5. 6. 7.

10. Simplify Radicals 8.9. 10. 11. 12.

11. Practice Laws of Exponents 13. 14.

12. More Simplifying with exponents Assume all variables are positive 15. 16. 17. 18.

13. 30-60-90 Right Triangle 2x 60°

14. 45-45-90 Right Triangle X

15. THEN

16. 1. Simplify2.Find x3.Find x4.Simplify5.Simplify. Extra Practice on HW 7.1: Work this out in your math notebook. Assume all variables are positive.

17. 1. Simplify2.Find x3.Find x4.Simplify5.Simplify. Extra Practice on HW 7.1: Work this out in your math notebook. Assume all variables are positive.

18. 6.Simplify.7. Simplify.8.Simplify.9. If 4 is the leg of a 45-45-90 triangle, find the other sides. 10. Simplify. Extra Practice on HW 7.1: Work this out in your math notebook. Assume all variables are positive.

19. 6.Simplify.7. Simplify.8.Simplify.9. If 4 is the leg of a 45-45-90 triangle, find the other sides. 10. Simplify. Extra Practice on HW 7.1: Work this out in your math notebook. Assume all variables are positive.

20. HOMEWORK 7.1 due next class!!! 33 Questions