1. 1. ʿ F ʾ 1
F ˈ 3 F F
ʿ F
ʿ F
F
ʿ F
2. ʿ ˈ ʿ F 1
3. ʿ F F F
3.1 F
3.2
3.3 ʿ F F F
3.4 ʿ F F F F
3.5
3.6
3.7
3.8 F F ʿ
2. F 1
F × F
1. an
F
. a × a × a × × a ( n ) . a + a + a + + a ( n )
. n + n + n + + n ( n ) . n × n × n × n ( n )
2. (-7) ×(-7) × (-7) × (-7) F F F F
. (-7) . (-7)7
. (-7)4
. - 74
3. 32
. 2 . 3
. 23
. 32
4. - 23
F F F
. .
. .
5. ( b2
)3
F
. b2
× b2
× b2
. b2
+ b2
+ b2
. b3
× b3
× b3
. b3
+ b3
+ b3
6. 0.000729 F F F
. (0.9) 3
. (0.09) 3
. (0.009) 3
. (0.003)9
7. 0.0000001 F F ˈ 10 F F
. 103
. 107
. 10 6−
. 10 7−
6. F a n ˈ F
an
= a × a × a × × a
n
an
F
a F
n F
F
F 54
54
F F F
5 F
4 F
F (-2 )4
(-2 ) 4
F F
(-2 ) F
4 F
F -25
-2
5
F F F
2 F
5 F
F
5
1 6
5
1 6
F F F F
5
1
F
6 F
7. F a n ˈ F
an
= a × a × a × × a
n
an
ˈ a ˈ n ˈ
an
F
F
8. ʿ F
1.1
F F F
F 36
F F
3 F
6 F
1. 73
F F
............ F
............ F
2. (-5 )4
F F
.......... F
.......... F
3.
5
2
1
F F
2
1
F
5 F
4. (0.4) 3
F F
(0.4) F
3 F
5. 3 2
F F .
3 F
2 F
9. ʿ F
1.1
F F F
1. 73
F F
7 F
3 F
2. (-5 )4
F F F
-5 F
4 F
3.
5
2
1
F F F F
2
1
F
5 F
4. (0.4) 3
F F F
(0.4) F
3 F
5. 32
F F
3 F
2 F
10. a n
an
= a × a × a × × a a n
n
F ˈ F F
F
53
5 × 5 × 5
(-2 )6
(-2 ) × (-2 ) × (-2 ) × (-2 ) × (-2 ) × (-2 )
F
F F 7 × 7 × 7 × 7 × 7 F 75
13. ˈ
104
= 10 × 10 × 10 × 10 = 10,000
103
= 10 × 10 × 10 = 1,000
102
= 10 × 10 = 100
101
= 10
100
= 1
102
F F
y
10
0 10 x
102
F F
= 102
F
ˈ F × F × F
103
F F F F
y
10
10
z 0 10 x
103
F F
F = 103
F
F × ×
18. ʿ F
1.5
F
ˈ
F 1) 10,000,000,000
1 × 1010
2) F ʾ . . 2548
42,000,000
42 × 106
1. F F 1,000,000
2. ˈ ˁ F 2,400,000 F
3. F F F 100,000,000,000
4. F F 39,000
5. F F F 93,000,000 F
19. ʿ F
1.5
1. F F 1,000,000
1× 106
2. ˈ ˁ F 2,400,000 F
24 × 105
3. F F F 100,000,000,000
1×1011
4. F F 39,000
39 × 103
5. F F F 93,000,000 F
93 × 106
20. ˈ
F a ˈ n ˈ F
a n
= a n
a ˈ F a ˈ
F F
F 34
= 3 × 3 × 3 × 3
(-2 )3
= (-2) × (-2 ) × (-2 )
3
3
2
x
=
3
2x
×
3
2x
×
3
2x
(0.5)2
= (0.5) × (0.5)