1. Chris Giovanello, LBUSD Math Curriculum Office, 2004
Beat the Computer!
Product of a Power
Chris Giovanello, LBUSD Math Curriculum Office, 2004

2. Chris Giovanello, LBUSD Math Curriculum Office, 2004
Directions:
A slide will appear with a problem
Say the answer aloud before the computer can answer (7 sec.)
You will hear a sound when the slide changes
Chris Giovanello, LBUSD Math Curriculum Office, 2004

3. Chris Giovanello, LBUSD Math Curriculum Office, 2004
a2·a3
Chris Giovanello, LBUSD Math Curriculum Office, 2004

4. Chris Giovanello, LBUSD Math Curriculum Office, 2004
a2·a3
= a·a
·a·a·a a5
Chris Giovanello, LBUSD Math Curriculum Office, 2004

5. Chris Giovanello, LBUSD Math Curriculum Office, 2004
x5·x
Chris Giovanello, LBUSD Math Curriculum Office, 2004

6. Chris Giovanello, LBUSD Math Curriculum Office, 2004
x5·x1
= x·x·x·x·x ·x x6
Chris Giovanello, LBUSD Math Curriculum Office, 2004

7. Chris Giovanello, LBUSD Math Curriculum Office, 2004
y·y4
Chris Giovanello, LBUSD Math Curriculum Office, 2004

8. Chris Giovanello, LBUSD Math Curriculum Office, 2004
y1·y4
= y
·y·y·y·y y5
Chris Giovanello, LBUSD Math Curriculum Office, 2004

9. Chris Giovanello, LBUSD Math Curriculum Office, 2004
b3·b4
Chris Giovanello, LBUSD Math Curriculum Office, 2004

10. Chris Giovanello, LBUSD Math Curriculum Office, 2004
b3·b4
= b·b·b
·b·b·b·b b7
Chris Giovanello, LBUSD Math Curriculum Office, 2004

11. Chris Giovanello, LBUSD Math Curriculum Office, 2004
c2·c·c3
Chris Giovanello, LBUSD Math Curriculum Office, 2004

12. Chris Giovanello, LBUSD Math Curriculum Office, 2004
c2·c1·c3
= c·c ·c
·c·c·c c6
Chris Giovanello, LBUSD Math Curriculum Office, 2004

13. Chris Giovanello, LBUSD Math Curriculum Office, 2004
(2c3)(3c4)
Chris Giovanello, LBUSD Math Curriculum Office, 2004

14. Chris Giovanello, LBUSD Math Curriculum Office, 2004
(2c3)(3c4)
= 2·c·c·c
·3·c·c·c·c
= 2·3·c·c·c·c·c·c·c
6c7
Chris Giovanello, LBUSD Math Curriculum Office, 2004

15. Chris Giovanello, LBUSD Math Curriculum Office, 2004
(a6b)(a3b2)
Chris Giovanello, LBUSD Math Curriculum Office, 2004

16. a9b3 (a6b1)(a3b2) = a·a·a·a·a·a·b ·a·a·a·b·b = a·a·a·a·a·a·a·a·a·b·b·b
Chris Giovanello, LBUSD Math Curriculum Office, 2004

17. Chris Giovanello, LBUSD Math Curriculum Office, 2004
(3mn)(mn4)
Chris Giovanello, LBUSD Math Curriculum Office, 2004

18. Chris Giovanello, LBUSD Math Curriculum Office, 2004
(3m1n1)(m1n4)
= 3·m·n
·m·n·n·n·n
= 3·m·m·n·n·n·n·n
3m2n5
Chris Giovanello, LBUSD Math Curriculum Office, 2004

19. Chris Giovanello, LBUSD Math Curriculum Office, 2004
(-3d)(7d2)
Chris Giovanello, LBUSD Math Curriculum Office, 2004

20. Chris Giovanello, LBUSD Math Curriculum Office, 2004
(-3d1)(7d2)
= -3·d
·7·d·d
= -3·7·d·d·d
-21d3
Chris Giovanello, LBUSD Math Curriculum Office, 2004

21. Chris Giovanello, LBUSD Math Curriculum Office, 2004
(4y2)(2xy3)
Chris Giovanello, LBUSD Math Curriculum Office, 2004

22. Chris Giovanello, LBUSD Math Curriculum Office, 2004
(4y2)(2x1y3)
= 4·y·y
·2·x·y·y·y
= 4·2·x·y·y·y·y·y
8xy5
Chris Giovanello, LBUSD Math Curriculum Office, 2004

23. Chris Giovanello, LBUSD Math Curriculum Office, 2004
(5a5b)(3a2b2)
Chris Giovanello, LBUSD Math Curriculum Office, 2004

24. 15a7b3 (5a5b1)(3a2b2) = 5·a·a·a·a·a·b ·3·a·a·b·b
= 5·3·a·a·a·a·a·a·a·b·b·b
15a7b3
Chris Giovanello, LBUSD Math Curriculum Office, 2004

25. Chris Giovanello, LBUSD Math Curriculum Office, 2004
(4x5)(-3x2)
Chris Giovanello, LBUSD Math Curriculum Office, 2004

26. Chris Giovanello, LBUSD Math Curriculum Office, 2004
(4x5)(-3x2)
= 4·x·x·x·x·x
·-3·x·x
= 4·-3·x·x·x·x·x·x·x
-12x7
Chris Giovanello, LBUSD Math Curriculum Office, 2004

27. Chris Giovanello, LBUSD Math Curriculum Office, 2004
(5a5)(6ab3)
Chris Giovanello, LBUSD Math Curriculum Office, 2004

28. 30a6b3 (5a5)(6a1b3) = 5·a·a·a·a·a ·6·a·b·b·b = 5·6·a·a·a·a·a·a·b·b·b
Chris Giovanello, LBUSD Math Curriculum Office, 2004

29. Chris Giovanello, LBUSD Math Curriculum Office, 2004
(2q2)(3qr)(4r)
Chris Giovanello, LBUSD Math Curriculum Office, 2004

30. Chris Giovanello, LBUSD Math Curriculum Office, 2004
(2q2r)(3qr)(4r)
= 2·q·q·r
·3·q·r
·4·r
= 2·3·4·q·q·q·r·r·r
24q3r3
Chris Giovanello, LBUSD Math Curriculum Office, 2004

31. Chris Giovanello, LBUSD Math Curriculum Office, 2004
(xy2)(5x2y3)(3x3)
Chris Giovanello, LBUSD Math Curriculum Office, 2004

32. 15x6y5 (x1y2)(5x2y3)(3x3) = x·y·y ·5·x·x·y·y·y ·3·x·x·x
= 5·3·x·x·x·x·x·x·y·y·y·y·y
15x6y5
Chris Giovanello, LBUSD Math Curriculum Office, 2004

33. Chris Giovanello, LBUSD Math Curriculum Office, 2004
(ac2)(b4c)(a3bc)
Chris Giovanello, LBUSD Math Curriculum Office, 2004

34. a4b5c4 (a1c2)(b4c1)(a3b1c1) = a·c·c ·b·b·b·b·c ·a·a·a·b·c
= a·a·a·a·b·b·b·b·b·c·c·c·c
a4b5c4
Chris Giovanello, LBUSD Math Curriculum Office, 2004

35. Chris Giovanello, LBUSD Math Curriculum Office, 2004
(-r2)(-3rs3)(-s2)
Chris Giovanello, LBUSD Math Curriculum Office, 2004

36. -3r3s5 (-1·r2)(-3r1s3)(-1·s2) = -1·r·r ·-3·r·s·s·s ·-1·s·s
Chris Giovanello, LBUSD Math Curriculum Office, 2004