1. Warm Up: Simplify the expression 1. 2. 3.

2. Simplify

3. Dominos Get a worksheet from the front: Cut out the dominoes, connect them in order, problem simplified form

4. AUGUST 28 TH, 2014 Exponent Laws Fractions

5. Adding/Subtracting/Multiplying Fractions Do you remember how to combine fractions?

6. Apply combining fractions to exponent rules When multiplying two variables with a like base, you ADD the exponents x 1/5 x 2/5 = x 5/3 x 1/3 = When dividing two variables with a like base, you SUBTRACT the exponents

7. Exponent Rules When you raise an exponent to another exponent, you MULTIPLY the exponents. (y 2 ) 5/6 = (x 4 ) -2/8 =

8. 1. 2. When a fraction is in parentheses with a negative exponent, DISTRIBUTE the exponent to both top and bottom and SWITCH your terms. How about fractions!

9. Type in your calculator (4) 1/2 =___. Type in your calculator (9) 1/2 =____. Type in your calculator (16) 1/2 =___. Type in your calculator (25) 1/2 =____.

10. Do you notice a pattern? So we can say that any time you see a 1/2 exponent, the expression is equivalent to taking the square root. Ex:

11. Type in your calculator (1) 1/3 =___. Type in your calculator (8) 1/3 =____. Type in your calculator (64) 1/3 =___. Type in your calculator (125) 1/3 =____.

12. Do you notice a pattern? So we can say that any time you see a 1/3 exponent, the expression is equivalent to taking the cube root. Ex:

13. Exponents Type in to your calculator 8 2/3 = ________. What is 8 2 ? What is 64 1/3? So 8 2/3 means to square 8, then take the square root!

14. Simplify 1. 2. 3. 4.

15. Simplify

16. NC CC Math II Exam Question

17. Simplify step by step!

18. NC CC Math II Exam Question

19. Combining Like Terms You can only COMBINE terms that match. X matches X X does not match X 2 Terms must match in VARIABLES and EXPONENTS

20. Match/Combine the Like Terms Use a different color to highlight each pair 17x 4 4y 3 14x 3 y 5 z23ab 2 56y 4 6a 2 b-32s 3 t 6 8a 2 b 3 4a 2 b 3 19s 6 t 3 2x 4 3x 3 y 5 z 85s 3 t 6 x5y3zx5y3z3y 4 96ab 2 15a 2 b7y 3 7x 5 y 3 z2s 6 t 3

21. Simplify the Expressions by Combining Like Terms

22. Homework Continue to work on Weekly Math #1! Bring in Student Info Sheet & Cou DUE TOMORROW! (FRIDAY) FOLLOW ALL DIRECTIONS or I will give it back to you to re-do!