EduSahara™ Assignment
Name : Laws of Exponents for Real Numbers
Chapter : Number Systems
Grade : CBSE Grade IX
License : Non Commercial Use
Question
1
1.
(
3
✕
-5
)
-3/5
=
(i)
(
-3
5
)
3
✕
(
-3
7
)
(-5)
(ii)
(
-3
5
)
3
✕
(
-3
5
)
(-2)
(iii)
(
-3
5
)
3
✕
(
-3
5
)
(-8)
(iv)
(
-3
5
)
3
✕
(
-3
5
)
(-5)
(v)
(
-3
5
)
3
✕
(-5)
-1
Question
2
2.
(
-3
✕
-3
✕
6
)
9/2
=
(i)
(
9
2
)
(-3)
✕
(
9
2
)
(-5)
✕
(
9
2
)
4
(ii)
(
9
2
)
(-3)
✕
(-3)
9
✕
6
9
(iii)
(
9
2
)
(-3)
✕
(
11
2
)
(-3)
✕
(
9
2
)
8
(iv)
(
9
2
)
(-3)
✕
(
9
4
)
(-3)
✕
(
9
4
)
6
(v)
(
9
2
)
(-3)
✕
(
9
2
)
(-3)
✕
(
9
2
)
6
Question
3
3.
(
9
7
✕
(
-2
5
)
)
-7
=
(i)
-7
(
9
7
)
✕
-7
(
-4
5
)
(ii)
-7
(
9
7
)
✕
-7
(
-2
5
)
(iii)
-7
(
9
7
)
✕
-8
(
-2
5
)
(iv)
-7
(
9
7
)
✕
-6
(
-2
5
)
(v)
-7
(
9
7
)
✕
-4
(
-2
5
)
Question
4
4.
(
9
8
✕
3
2
✕
-3
1
)
-3
=
(i)
-3
(
9
8
)
✕
-4
(
3
2
)
✕
(-3)
-4
(ii)
-3
(
9
8
)
✕
-3
(
5
2
)
✕
(-1)
-3
(iii)
-3
(
9
8
)
✕
-3
(
1
2
)
✕
(-6)
-3
(iv)
-3
(
9
8
)
✕
-2
(
3
2
)
✕
(-3)
-2
(v)
-3
(
9
8
)
✕
-3
(
3
2
)
✕
(-3)
-3
Question
5
5.
7
(
-9
4
)
=
(i)
(-9)
7
1
(ii)
(-9)
8
4
7
(iii)
(-9)
7
7
7
(iv)
(-9)
6
4
7
(v)
(-9)
7
4
7
Question
6
6.
-6
(
3
2
)
=
(i)
3
-5
2
-6
(ii)
3
-7
2
-6
(iii)
3
-6
5
-6
(iv)
3
-6
2
-9
(v)
3
-6
2
-6
Question
7
7.
[
(-3)
-4
]
-4
=
(i)
(-6)
16
(ii)
(-3)
16
(iii)
(-3)
17
(iv)
(-3)
15
(v)
(-1)
16
Question
8
8.
[
3
5
]
3/2
=
(i)
(
29
4
)
3
(ii)
3
8
(iii)
(
15
2
)
3
(iv)
(
15
2
)
6
(v)
1
Question
9
9.
[
3
]
-4
(
-3
8
)
=
(i)
-12
(
-5
8
)
(ii)
-13
(
-3
8
)
(iii)
-12
(
-3
8
)
(iv)
-12
(
-1
8
)
(v)
-11
(
-3
8
)
Question
10
10.
[
(
3/2
)
]
3
(
-7
2
)
=
(i)
(
9/2
)
(
-7
2
)
(ii)
(
9/2
)
(
-9
2
)
(iii)
(
9/2
)
(
-5
2
)
(iv)
(
17/4
)
(
-7
2
)
(v)
5
(
-7
2
)
Question
11
11.
[
(
-2/3
)
]
-2
(
-5
3
)
=
(i)
(
4/3
)
(
-7
3
)
(ii)
(
6/5
)
(
-5
3
)
(iii)
(
4
3
)
(-1)
(iv)
2
(
-5
3
)
(v)
(
4/3
)
(
-5
3
)
Question
12
12.
10
√
9
✕
10
√
3
=
(i)
10
√
30
(ii)
12
√
27
(iii)
8
√
27
(iv)
10
√
27
(v)
10
√
24
Question
13
13.
7
√
3
7
√
9
=
(i)
7
√
1
3
(ii)
1
(iii)
9
√
1
3
(iv)
5
√
1
3
(v)
7
√
-1
3
Question
14
14.
5
√
10
6
√
10
=
(i)
7
6
(ii)
5
6
(iii)
1
2
(iv)
5
4
(v)
5
8
Question
15
15.
3
√
3
3
√
10
=
(i)
3
√
3
10
(ii)
5
√
3
10
(iii)
3
10
(iv)
3
√
1
10
(v)
3
√
1
2
Question
16
16.
6
3
√
5
3
3
√
20
=
(i)
3
√
2
(ii)
5
√
2
(iii)
2
(iv)
3
√
5
(v)
3
√
-1
Question
17
17.
√
4
11
=
(i)
4
11
(ii)
(
11
2
)
2
(iii)
(
11
2
)
4
(iv)
(
2
11
)
4
(v)
(
11
2
)
6
Question
18
18.
4
√
5
=
(i)
(
1
4
)
5
(ii)
(
1
4
)
3
(iii)
5
4
(iv)
(
1
4
)
8
(v)
(
1
2
)
5
Question
19
19.
(
1
2
)
9
=
(i)
√
7
(ii)
√
12
(iii)
1
√
2
9
(iv)
9
(v)
√
9
Question
20
20.
(-4)
5
=
(i)
-5
(
-3
4
)
(ii)
-5
(
-1
4
)
(iii)
-6
(
-1
4
)
(iv)
-4
(
-1
4
)
(v)
-5
(
1
4
)
Question
21
21.
5
-8
=
(i)
7
(
1
5
)
(ii)
8
(
1
5
)
(iii)
8
(
-1
5
)
(iv)
9
(
1
5
)
(v)
8
(
3
5
)
Question
22
22.
-2
(
-7
4
)
=
(i)
3
(
-4
7
)
(ii)
2
(
-4
7
)
(iii)
(
-4
7
)
(iv)
2
(
-6
7
)
(v)
2
(
-2
7
)
Question
23
23.
(
-7/6
)
(
-3
7
)
=
(i)
(
5/4
)
(
-7
3
)
(ii)
(
7
6
)
(-3)
(iii)
(
9/8
)
(
-7
3
)
(iv)
(
7/6
)
(
-5
3
)
(v)
(
7/6
)
(
-7
3
)
Question
24
24.
5
5
5
3
=
(i)
5
(ii)
3
2
(iii)
5
2
(iv)
7
2
(v)
5
3
Question
25
25.
8
(
-5
3
)
-7
(
-5
3
)
=
(i)
15
(
-7
3
)
(ii)
16
(
-5
3
)
(iii)
14
(
-5
3
)
(iv)
(-1)
15
(v)
15
(
-5
3
)
Question
26
26.
(
-2
5
)
6
6
5
=
(i)
(
-27
5
)
9
(ii)
(
-17
3
)
6
(iii)
(
-27
5
)
6
(iv)
(
-27
5
)
3
(v)
(
-37
7
)
6
Question
27
27.
(
3/2
)
(
-7
9
)
3
(
-7
9
)
=
(i)
-2
(
-7
9
)
(ii)
(
-3/2
)
(
-5
9
)
(iii)
(
-5/4
)
(
-7
9
)
(iv)
(
-3/2
)
(
-7
9
)
(v)
(
-3
2
)
(-1)
Question
28
28.
[
(-3)
5
]
5
=
(i)
(-5)
25
(ii)
(-3)
25
(iii)
(-3)
26
(iv)
(-1)
25
(v)
(-3)
24
Question
29
29.
[
(-3)
-5
]
-2/5
=
(i)
(-6)
2
(ii)
-3
(iii)
(-3)
5
(iv)
(-3)
2
(v)
(-3)
3
Question
30
30.
[
2
]
-5
(
-6
5
)
=
(i)
-9
(
-6
5
)
(ii)
-11
(
-6
5
)
(iii)
-10
(
-8
5
)
(iv)
-10
(
-4
5
)
(v)
-10
(
-6
5
)
Question
31
31.
Simplify the expression
(-8)
-4
✕
(-8)
-2
✕
(-8)
-9
(i)
(-8)
-14
(ii)
(-8)
-16
(iii)
(-6)
-15
(iv)
(-11)
-15
(v)
(-8)
-15
Question
32
32.
Simplify the expression
(
9/7
)
(
9
8
)
✕
(
7/3
)
(
9
8
)
✕
2
(
9
8
)
(i)
(
118/21
)
(
11
8
)
(ii)
(
108/19
)
(
9
8
)
(iii)
(
118/21
)
(
7
8
)
(iv)
(
118/21
)
(
9
8
)
(v)
(
128/23
)
(
9
8
)
Question
33
33.
Simplify the expression
(-2)
-6
✕
(-5)
-6
(i)
10
-6
(ii)
10
-5
(iii)
13
-6
(iv)
10
-7
(v)
7
-6
Question
34
34.
Simplify the expression
(
5/2
)
(
9
7
)
✕
(
5/2
)
(
9
7
)
(i)
(
5/4
)
(
81
49
)
(ii)
(
5/2
)
(
79
49
)
(iii)
(
5/2
)
(
81
49
)
(iv)
5
(
81
49
)
(v)
(
5/2
)
(
83
49
)
Question
35
35.
Simplify
5
2
2
-2
(i)
10
2
(ii)
12
2
(iii)
10
(iv)
10
3
(v)
8
2
Question
36
36.
Simplify
(-2)
-2
✕
(-2)
2
(-3)
2
✕
5
-2
(i)
2
(
7
3
)
(ii)
5
3
(iii)
2
(
5
3
)
(iv)
3
(
5
3
)
(v)
1
Question
37
37.
Simplify
(-5)
2
✕
5
2
✕
(-5)
-2
(-3)
2
✕
4
2
✕
(-4)
-2
(i)
3
(
5
3
)
(ii)
2
(
5
3
)
(iii)
5
3
(iv)
1
(v)
2
(
7
3
)
Question
38
38.
Simplify
2
-2
✕
3
3
2
-3
✕
(-4)
3
(i)
-1
✕
3
3
(-1)
5
(ii)
-1
✕
3
3
2
5
(iii)
-1
✕
3
3
4
5
(iv)
-1
✕
3
4
2
5
(v)
-1
✕
3
2
2
5
Question
39
39.
The value of
-3
(
-3
2
)
✕
-2
(
1
2
)
(i)
(
-32
25
)
(ii)
2
(
-32
27
)
(iii)
(
-34
27
)
(iv)
(
-32
27
)
(v)
(
-10
9
)
Question
40
40.
The value of
(-2)
3
÷
2
3
(i)
-1
(ii)
-4
(iii)
-2
(iv)
2
(v)
(-1)
2
Question
41
41.
The value of
3
-2
÷
(-4)
-3
(i)
(
-22
3
)
(ii)
2
(
-64
9
)
(iii)
(
-62
9
)
(iv)
(
-64
7
)
(v)
(
-64
9
)
Question
42
42.
The value of
3
(
4
3
)
÷
3
(
4
3
)
(i)
(-1)
-1
(ii)
2
-1
(iii)
1
(iv)
4
-1
Question
43
43.
The value of
-2
(
1
2
)
÷
-3
(
-2
3
)
(i)
(
-10
9
)
(ii)
(
-32
25
)
(iii)
(
-34
27
)
(iv)
(
-32
27
)
(v)
2
(
-32
27
)
Question
44
44.
Find the value of
(
5
3
)
125
(i)
3125
(ii)
3123
(iii)
3124
(iv)
3126
(v)
3127
Question
45
45.
Find the value of
(
5/2
)
(
9
4
)
(i)
245
32
(ii)
243
32
(iii)
243
34
(iv)
241
32
(v)
81
10
Question
46
46.
Find the value of
(
-5
2
)
25
(i)
1
3125
(ii)
3
3125
(iii)
1
3123
(iv)
1
3127
(v)
(
-1
3125
)
Question
47
47.
Find the value of
(
-5
2
)
25
(i)
3
3125
(ii)
1
3123
(iii)
1
3127
(iv)
1
3125
(v)
(
-1
3125
)
Assignment Key
1) (iv)
2) (v)
3) (ii)
4) (v)
5) (v)
6) (v)
7) (ii)
8) (iii)
9) (iii)
10) (i)
11) (v)
12) (iv)
13) (i)
14) (ii)
15) (i)
16) (i)
17) (iii)
18) (i)
19) (v)
20) (ii)
21) (ii)
22) (ii)
23) (v)
24) (iii)
25) (v)
26) (iii)
27) (iv)
28) (ii)
29) (iv)
30) (v)
31) (v)
32) (iv)
33) (i)
34) (iii)
35) (i)
36) (iii)
37) (ii)
38) (ii)
39) (iv)
40) (i)
41) (v)
42) (iii)
43) (iv)
44) (i)
45) (ii)
46) (i)
47) (iv)
