Download 1 - Humble ISD

1.5 Properties of Exponents
am  a n  am  n
Product of Powers:
Power of a Power:
a 
Power of a Product:
Negative Exponent:
m n
mn
a
ab
m
a n 
Zero Exponent:
Quotient of Powers:
a0  1, a  0
am
a
 a b
m
m
n
a
Power of a Quotient:  
b
 am  n
m

1. 3b  5b
 
2

9.  2b5c 3

6 4 2
2. 2f g
5. g3h g4h3

3

, b0
an

4
b
m
1
Simplify:
7
am
3.
 
6. s5c 5

0
10. 2x 4 y6
7.

2
12 x 3 y 1
3x
2
x3 y 4 6 x
 1
4
y
11. 3a2  4a6
4.
8.
3b
c d
2
6b d
2ef 8g2
e2fg6


 2 0 1 2
12. 4x3 y5

2
13.
17.
6x7 y5
3 x 1
xy 2 6x

2 y
21. 23 25
 
25. x 3
5
29. 3x0y4
14.
18.
2r

1 2 0 2
s t
2rs
2
26.
30.
19.  2x 1y2
a3bc 2
y10
2x
3
43
41

2
20x14
xy
6
23. x4  x2

27.  3x2
31.

3

2ab5c 2
 1  1
22.    
 2  2
  st
15. s2t
x 3 y
xy  2

2
16. h4k 5

3


0
20. 2x 5 y 4

3
 
24. 43
2
28. 4x 1y
32.
6x y 2 x 2

5y
x3
33.
 12xy
7x 4

3
21x5 y2
4y
 2 3
37. 3   
3  2

41. 2xy 3

2
45.  2x 2y0
35.  32  31
34. 3y2  y2
2
38.
xy 9
3y 2

42. x2y2
46.
x3
x 1


 7y
21x5
1
 
39. 62
2
43. xy 2x
47.
2x 2 y 7
6xy 1
 
4
36. x3 y
 
40. y 4
44.
48.
3
5x 2 2y3
 10
3x
x
 3x5
x13

2x10 y
15 y 2