EduSahara™ Assignment
Name : Law of Exponents for Real Numbers
Chapter : Real Numbers
Grade : SSC Grade IX
License : Non Commercial Use
Question
1
1.
(-2)
6
(-2)
-6
=
(i)
(-2)
12
(ii)
(-2)
14
(iii)
(-5)
12
(iv)
(-2)
11
(v)
(-2)
13
Question
2
2.
3
(
-5
3
)
-5
(
-5
3
)
=
(i)
7
(
-5
3
)
(ii)
9
(
-5
3
)
(iii)
(-1)
8
(iv)
8
(
-5
3
)
(v)
8
(
-7
3
)
Question
3
3.
6
-3
(
-5
3
)
6
=
(i)
(
-4
3
)
6
(ii)
(
-6
5
)
6
(iii)
6
-2
(iv)
(
-4
3
)
9
(v)
(
-4
3
)
4
Question
4
4.
(
-4/3
)
(
-3
7
)
-3
(
-3
7
)
=
(i)
(
7/5
)
(
-3
7
)
(ii)
(
5/3
)
(
-1
7
)
(iii)
3
(
-3
7
)
(iv)
(
5/3
)
(
-5
7
)
(v)
(
5/3
)
(
-3
7
)
Question
5
5.
[
(-2)
-2
]
-4
=
(i)
(-5)
8
(ii)
(-2)
9
(iii)
1
(iv)
(-2)
8
(v)
(-2)
7
Question
6
6.
[
2
-4
]
5/4
=
(i)
4
-5
(ii)
2
-6
(iii)
2
-5
(iv)
2
-8
(v)
2
-4
Question
7
7.
[
(
5
4
)
]
-3
(-3)
=
(i)
(
-7
2
)
(-3)
(ii)
(
-15
4
)
(-3)
(iii)
(
-15
4
)
(-6)
(iv)
(
-13
4
)
(-3)
(v)
(
-9
2
)
(-3)
Question
8
8.
[
(
-2
3
)
]
5/2
(-5)
=
(i)
(
-5
3
)
(-7)
(ii)
(
-5
3
)
(-5)
(iii)
(
-7
5
)
(-5)
(iv)
(-5)
-3
(v)
(
-5
3
)
(-3)
Question
9
9.
[
-3
]
3
(
7
2
)
=
(i)
-9
(
5
2
)
(ii)
-9
(
7
2
)
(iii)
-9
(
9
2
)
(iv)
-8
(
7
2
)
(v)
-10
(
7
2
)
Question
10
10.
[
5
]
-5/3
(
-2
9
)
=
(i)
(
-25/3
)
(
-2
9
)
(ii)
(
-23/3
)
(
-2
9
)
(iii)
(
-41/5
)
(
-2
9
)
(iv)
(
-25/3
)
(
-4
9
)
(v)
-9
(
-2
9
)
Question
11
11.
[
(
-4/3
)
]
4
(
-7
5
)
=
(i)
-6
(
-7
5
)
(ii)
(
-26/5
)
(
-7
5
)
(iii)
(
-16
3
)
(-1)
(iv)
(
-16/3
)
(
-9
5
)
(v)
(
-16/3
)
(
-7
5
)
Question
12
12.
[
(
3/2
)
]
3
(
-8
3
)
=
(i)
(
17/4
)
(
-8
3
)
(ii)
5
(
-8
3
)
(iii)
(
9
2
)
(-2)
(iv)
(
9/2
)
(
-8
3
)
(v)
(
9/2
)
(
-10
3
)
Question
13
13.
Simplify the expression
7
5
✕
7
5
(i)
5
10
(ii)
9
10
(iii)
7
10
(iv)
7
9
(v)
7
11
Question
14
14.
Simplify the expression
3
-9
✕
3
-5
(i)
3
-15
(ii)
3
-13
(iii)
3
-14
(iv)
1
(v)
5
-14
Question
15
15.
Simplify the expression
(-6)
2
✕
(-6)
3
✕
(-6)
7
(i)
(-3)
12
(ii)
(-8)
12
(iii)
(-6)
11
(iv)
(-6)
13
(v)
(-6)
12
Question
16
16.
Simplify the expression
(-2)
-4
✕
(-2)
-4
✕
(-2)
-2
(i)
(-4)
-10
(ii)
(-2)
-11
(iii)
1
(iv)
(-2)
-9
(v)
(-2)
-10
Question
17
17.
Simplify the expression
(
7
3
)
4
✕
4
5
✕
(
9
8
)
4
(i)
(
203
24
)
6
(ii)
(
203
24
)
4
(iii)
(
17
2
)
4
(iv)
(
219
26
)
4
(v)
1
Question
18
18.
Simplify the expression
4
-4
✕
(
-8
5
)
4
(i)
(
-38
7
)
4
(ii)
1
(iii)
(
-28
5
)
4
(iv)
4
-6
(v)
(
-28
5
)
6
Question
19
19.
Simplify the expression
(-4)
7
✕
(
8
7
)
(-4)
✕
(
5
4
)
(-4)
(i)
(
263
28
)
(-2)
(ii)
(
263
28
)
(-4)
(iii)
(
263
28
)
(-7)
(iv)
(
245
26
)
(-4)
(v)
(
281
30
)
(-4)
Question
20
20.
Simplify the expression
(
-5
3
)
(-8)
✕
(
-5
4
)
(-8)
✕
(
-5
6
)
(-8)
(i)
(
-9
2
)
(-8)
(ii)
(
-7
2
)
(-8)
(iii)
(
-15
4
)
(-11)
(iv)
(
-15
4
)
(-8)
(v)
(
-15
4
)
(-6)
Question
21
21.
Simplify the expression
2
(
3
2
)
✕
7
(
3
2
)
✕
7
(
3
2
)
(i)
16
(
5
2
)
(ii)
15
(
3
2
)
(iii)
16
(
1
2
)
(iv)
16
(
3
2
)
(v)
17
(
3
2
)
Question
22
22.
Simplify the expression
-7
(
3
2
)
✕
-2
(
3
2
)
✕
-4
(
3
2
)
(i)
-12
(
3
2
)
(ii)
-13
(
5
2
)
(iii)
-14
(
3
2
)
(iv)
-13
(
1
2
)
(v)
-13
(
3
2
)
Question
23
23.
Simplify the expression
7
(
-4
3
)
✕
2
(
-4
3
)
✕
2
(
-4
3
)
(i)
(-2)
11
(ii)
12
(
-4
3
)
(iii)
11
(
-2
3
)
(iv)
10
(
-4
3
)
(v)
11
(
-4
3
)
Question
24
24.
Simplify the expression
-7
(
-9
4
)
✕
-3
(
-9
4
)
✕
-7
(
-9
4
)
(i)
-17
(
-11
4
)
(ii)
-18
(
-9
4
)
(iii)
-17
(
-7
4
)
(iv)
-17
(
-9
4
)
(v)
-16
(
-9
4
)
Question
25
25.
Simplify the expression
(
7/6
)
(
7
3
)
✕
(
9/2
)
(
7
3
)
(i)
(
27/5
)
(
7
3
)
(ii)
(
17/3
)
(
7
3
)
(iii)
(
17/3
)
(
5
3
)
(iv)
7
(
7
3
)
(v)
(
17
3
)
3
Question
26
26.
Simplify the expression
(
-5/9
)
(
9
2
)
✕
(
-3/7
)
(
9
2
)
(i)
(
-62/63
)
(
9
2
)
(ii)
(
-62/63
)
(
11
2
)
(iii)
(
-62/63
)
(
7
2
)
(iv)
(
-62/65
)
(
9
2
)
(v)
(
-62/61
)
(
9
2
)
Question
27
27.
Simplify the expression
(
4/3
)
(
-5
8
)
✕
(
4/3
)
(
-5
8
)
✕
(
7/3
)
(
-5
8
)
(i)
6
(
-5
8
)
(ii)
5
(
-7
8
)
(iii)
5
(
-3
8
)
(iv)
5
(
-5
8
)
(v)
4
(
-5
8
)
Question
28
28.
Simplify the expression
(
-7
2
)
(-7)
✕
(
-5
4
)
(-7)
(i)
(
-19
4
)
(-9)
(ii)
(
-19
4
)
(-4)
(iii)
(
-9
2
)
(-7)
(iv)
(
-19
4
)
(-7)
(v)
(
-11
2
)
(-7)
Question
29
29.
Simplify the expression
7
6
✕
5
6
✕
6
6
(i)
210
7
(ii)
210
6
(iii)
210
5
(iv)
207
6
(v)
212
6
Question
30
30.
Simplify the expression
7
-8
✕
5
-8
(i)
35
-9
(ii)
35
-7
(iii)
32
-8
(iv)
35
-8
(v)
38
-8
Question
31
31.
Simplify the expression
(-4)
9
✕
(-6)
9
✕
(-9)
9
(i)
(-216)
8
(ii)
(-216)
10
(iii)
(-216)
9
(iv)
(-213)
9
(v)
(-219)
9
Question
32
32.
Simplify the expression
(-3)
-8
✕
(-6)
-8
✕
(-7)
-8
(i)
(-126)
-7
(ii)
(-124)
-8
(iii)
(-128)
-8
(iv)
(-126)
-8
(v)
(-126)
-9
Question
33
33.
Simplify the expression
(
6
5
)
6
✕
(
6
5
)
6
✕
(
6
5
)
5
(i)
(
6
7
)
180
(ii)
(
6
5
)
182
(iii)
(
6
5
)
180
(iv)
180
2
(v)
(
6
5
)
178
Question
34
34.
Simplify the expression
3
(
7
3
)
✕
3
(
7
3
)
✕
5
3
(i)
3
(
247
9
)
(ii)
3
(
245
9
)
(iii)
27
3
(iv)
2
(
245
9
)
(v)
4
(
245
9
)
Question
35
35.
Simplify the expression
-2
(
8
7
)
✕
3
-2
(i)
-1
(
24
7
)
(ii)
-2
(
22
7
)
(iii)
-2
(
26
7
)
(iv)
-3
(
24
7
)
(v)
-2
(
24
7
)
Question
36
36.
Expand the following base power
3
4
(i)
1
(ii)
27
(iii)
243
(iv)
625
(v)
81
Question
37
37.
Expand the following base power
5
-3
(i)
1
512
(ii)
1
625
(iii)
1
125
(iv)
1
25
(v)
1
27
Question
38
38.
Expand the following base power
(-2)
4
(i)
625
(ii)
1
(iii)
16
(iv)
-8
(v)
-32
Question
39
39.
Expand the following base power
(-4)
-5
(i)
1
256
(ii)
(
-1
1024
)
(iii)
(
-1
7776
)
(iv)
-1
(v)
1
4096
Question
40
40.
Simplify
4
2
✕
3
-2
(-5)
2
✕
(-5)
-2
(i)
3
(
4
3
)
(ii)
2
(
2
3
)
(iii)
4
3
(iv)
2
2
(v)
2
(
4
3
)
Question
41
41.
Simplify
4
-2
✕
(-4)
2
✕
(-3)
-2
5
2
✕
2
2
✕
(-3)
-2
(i)
10
-3
(ii)
13
-2
(iii)
8
-2
(iv)
10
-2
(v)
10
-1
Question
42
42.
Simplify
(-3)
2
✕
5
2
✕
(-5)
2
✕
2
-2
4
2
✕
2
2
✕
4
-2
✕
2
2
(i)
2
(
75
8
)
(ii)
75
8
(iii)
2
(
73
8
)
(iv)
2
(
77
8
)
(v)
3
(
75
8
)
Question
43
43.
Simplify
2
-2
✕
5
-3
4
-2
✕
(-4)
2
(i)
0
2
2
✕
5
3
(ii)
1
5
2
✕
5
3
(iii)
1
2
2
✕
2
3
(iv)
2
2
2
✕
5
3
(v)
1
2
2
✕
5
3
Question
44
44.
Simplify
(-3)
-3
✕
2
-3
✕
(-2)
-2
(-4)
3
✕
2
3
✕
(-5)
3
(i)
(-1)
2
✕
1
2
14
✕
3
3
✕
5
3
(ii)
-1
✕
1
2
14
✕
3
3
✕
5
3
(iii)
-1
✕
1
5
14
✕
3
3
✕
5
3
(iv)
-1
✕
1
2
14
✕
3
3
✕
2
3
(v)
-1
✕
0
2
14
✕
3
3
✕
5
3
Question
45
45.
Simplify
2
3
✕
5
2
✕
(-2)
3
(-3)
3
✕
(-5)
3
✕
3
3
✕
5
3
(i)
-1
✕
2
6
✕
5
2
3
6
✕
8
6
(ii)
-1
✕
2
6
✕
5
2
3
6
✕
5
6
(iii)
-1
✕
2
6
✕
5
2
3
6
✕
3
6
(iv)
-1
✕
2
6
✕
5
3
3
6
✕
5
6
(v)
-1
✕
2
6
✕
5
3
6
✕
5
6
Question
46
46.
Simplify
2
-3
✕
(-4)
-2
✕
4
-3
✕
2
-2
(-2)
-2
✕
(-5)
-3
✕
5
-2
(i)
-1
✕
5
5
2
13
(ii)
-1
✕
5
5
5
13
(iii)
-2
✕
5
5
2
13
(iv)
(-1)
2
✕
5
5
2
13
(v)
-1
✕
5
5
(-1)
13
Question
47
47.
Find the value of
3
2
(i)
12
(ii)
8
(iii)
10
(iv)
7
(v)
9
Question
48
48.
Find the value of
4
(
5
2
)
(i)
627
16
(ii)
625
18
(iii)
625
14
(iv)
623
16
(v)
625
16
Question
49
49.
Find the value of
(-5)
-4
(i)
3
625
(ii)
1
623
(iii)
1
627
(iv)
(
-1
625
)
(v)
1
625
Assignment Key
1) (i)
2) (iv)
3) (i)
4) (v)
5) (iv)
6) (iii)
7) (ii)
8) (ii)
9) (ii)
10) (i)
11) (v)
12) (iv)
13) (iii)
14) (iii)
15) (v)
16) (v)
17) (ii)
18) (iii)
19) (ii)
20) (iv)
21) (iv)
22) (v)
23) (v)
24) (iv)
25) (ii)
26) (i)
27) (iv)
28) (iv)
29) (ii)
30) (iv)
31) (iii)
32) (iv)
33) (iii)
34) (ii)
35) (v)
36) (v)
37) (iii)
38) (iii)
39) (ii)
40) (v)
41) (iv)
42) (i)
43) (v)
44) (ii)
45) (ii)
46) (i)
47) (v)
48) (v)
49) (v)
