1. Section 6.1: Multiplying Monomials
Algebra 1A
Section 6.1: Multiplying Monomials

2. Warm-Up 22 = ______ ∙ ______ = ______
22 = ______ ∙ ______ = ______
23 = ______ ∙ ______∙ ______ = ______
24 = ______ ∙ ______ ∙ ______∙ ______ = ______
32 = ______ ∙ ______ = ______
53 = ______ ∙ ______ ∙ ­­­______ = ______ 2 2 4 2 2 2 8 2 2 2 2 16 3 3 9 5 5 5
125

3. Important Concept Power:__________________________________________
82 = ___________ NOT the same as _____________
X5 = _______________ NOT the same as __________
An exponent tells how many times we multiply the base by itself
8 x 8
8 x 2
x . x . x . x . x 5x

4. PRODUCT OF POWERS the base stays the __________________ same
____________ the exponents of the ___________________ base
 ____________________ the coefficients (number in front of the base)
same
Add
same
Multiply

5. Example 1 Example 2 (33)(32) (3x4y)(-4x2y) 33 + 2 = 35 3(-4)x6y2

6. Your Turn 1
Your Turn 2
(5y4)(3y)
(-4ab6)(-7a2b3)
15y5
28a3b9

7. Power of Powers Multiply
_______________________ the exponents of the same ___________________
raise the coefficient to the given __________________________
base
power outside the parenthesis

8. Example 1 Example 2 Example 3 (3xy4)2 (-2xy4)3 (5ab4)3(3b2)2 32x2y8

9. Your Turn 1 Your Turn 2 Your Turn 3 (2x2y)3 (-3xy4)4 (2xy)3(3x2)5

10. Are you a master? (x3)4 b) (42)(43) c) x3(x2)
d) (2xy2)3 e) f) (-4m2n3)4
g) (-3a2b3)3 h) (n2)(n3)(n) i) (3xy)2(-2x2)3

11. Algebra 1A
Section 6.2: Dividing Monomials

12. Warm-Up (42)(43) b) (4xy2)3 c) (n4)__ = n12 d) (______)2 = 81a2b4c10
45 = 1,024
43x3y6 = 48x3y6 3
9ab2c5

13. DIVIDING MONOMIALS
_______________________ the coefficients by _____________________ or finding the ___________
 _______________________ the exponents of the ______________ base
Divide
reducing
decimal
Subtract
same

14. Example 1 Example 2 Example 3 4x5 2x3 4x3 8x8 78 72 2x2 1 2x5
76 or 117,649

15. Your Turn 1 Your Turn 2 Your Turn 3 10a3 5a 3b6 12b9 25 27 1 4b3 1 4

16. Example 4 Your Turn 4 144a2b5c 12a3bc3 -45x4y2z2 15x3y4z3 12b4 ac2 -3x

17. (a3b3)(a4b5) b) (-7g3h3)3 c) 510 57 d) e) f) g) h) i)
ARE YOU A MASTER????
(a3b3)(a4b5) b) (-7g3h3) c) 510 57
d) e) f)
g) h) i)

18. Warm-up:

19. CAN YOU FIND THE PATTERN?

20. ZERO EXPONENT PROPERTY
a) b)

21. NEGATIVE EXPONENT PROPERTY
EX 1) Your Turn

22. NEGATIVE EXPONENT PROPERTY
EX 2) Your Turn

23. NEGATIVE EXPONENT PROPERTY
EX 3) Your Turn

24. ARE YOU A MASTER
a) b)