Mathematics

2. Find the product.

3. 1. (2)(2)(2)
8

4. 2. (3)(3)(3)
27

5. 3. (5)(5)(5)
125

6. 4. (2)(2)(2)(2)
16

7. 5. (11)(11)
16

8. 6. (1)(1)(1)(1)(1)
1

9. 7. (10)(10)(10
1000

10. 8. (9)(9)(9)
729

11. 9. (3)(3)(3)(3)
81

12. 10. (12)(12)
144

13. Most Essential Learning
Competency:
The learner derives the laws
of exponents and performs
operations on polynomials
(Multiplication and Division).
Code: M7Al-IIe-1, M7Al-IIe-2

14. At the end of the learning period,
you are expected to:
1. derive the laws of exponents
2. perform multiplication and
division on polynomials

15. Lesson:
Laws of Exponents

16. 23 exponent
base

18. (7)(7)(7)(7)(7)(7)(7)(7)
78
Example: Write in exponential form.

19. (y)(y)(y)(y)(y)
y5
Example: Write in exponential form.

20. (ab)(ab)(ab)(ab)
(ab)4
Example: Write in exponential form.

21. Laws of Exponents:
Product Law

22. 33 32
35
Example 1:

23. m3 m4
m7
Example 2:

24. 45 42
47
Example 3:

25. x4 x5
x9
Example 4:

26. n2 n7 n3
n12
Example 5:

28. 24 23
27= 128
Try this!

29. x2 x3 x5
x10
Try this!

30. 2x2 7x3
14x5
Try this!

31. 5m4 3m4
15m8
Try this!

32. 3n2 2n3 5n5
30n10
Try this!

41. =
X-2 = 1
X2
5x = 5. x1-5 = 5x- 4 = 5
x5 1 x4

44. Lesson:
Perform
multiplication and
division
on polynomials

55. Try this!
Perform the
indicated
operation.

56. 1 ( x + 1) (x + 2)
Solution:
x +1
x + 2
= x2 + x +2x +2
x2+3x+2
=
Add the like terms

57. 2 Divide 2x2 +4x+6 by 2x
Solution:
2x2 +4x
2x
= x + 2x
=
= 2x2 + 4x
2x 2x