EduSahara™ Assignment
Name : Evaluating Expressions Involving Indices
Chapter : Indices
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
Expand the following base power
2
3
(i)
-1
(ii)
8
(iii)
16
(iv)
125
(v)
4
Question
2
2.
Expand the following base power
5
-4
(i)
1
125
(ii)
1
2401
(iii)
1
16
(iv)
1
625
(v)
1
3125
Question
3
3.
Expand the following base power
(-3)
2
(i)
-27
(ii)
25
(iii)
1
(iv)
9
(v)
-3
Question
4
4.
Expand the following base power
(-2)
-4
(i)
1
16
(ii)
(
-1
8
)
(iii)
1
256
(iv)
(
-1
32
)
(v)
1
Question
5
5.
Expand the following base power
2
(
4
3
)
(i)
4
(ii)
64
27
(iii)
4
3
(iv)
4
9
(v)
16
9
Question
6
6.
Expand the following base power
-4
(
1
4
)
(i)
256
(ii)
64
(iii)
256
81
(iv)
1024
Question
7
7.
Expand the following base power
5
(
-2
3
)
(i)
(
-1024
243
)
(ii)
(
-32
243
)
(iii)
256
6561
(iv)
16
81
(v)
64
729
Question
8
8.
Expand the following base power
-4
(
-2
5
)
(i)
(
-125
8
)
(ii)
625
16
(iii)
(
-3125
32
)
(iv)
25
4
(v)
625
256
Question
9
9.
The value of
2
2
+
(-3)
2
(i)
13
(ii)
12
(iii)
16
(iv)
11
(v)
13
2
Question
10
10.
The value of
(-4)
-3
+
5
-3
(i)
(
-61
7998
)
(ii)
(
-63
8000
)
(iii)
(
-61
8000
)
(iv)
(
-59
8000
)
(v)
2
(
-61
8000
)
Question
11
11.
The value of
3
(
-2
3
)
+
3
(
-3
2
)
(i)
(
-265
72
)
(ii)
(
-793
214
)
(iii)
(
-793
216
)
(iv)
(
-791
216
)
(v)
2
(
-793
216
)
Question
12
12.
The value of
-2
(
5
3
)
+
-3
(
-1
2
)
(i)
(
-191
23
)
(ii)
(
-193
25
)
(iii)
(
-191
25
)
(iv)
(
-189
25
)
(v)
2
(
-191
25
)
Question
13
13.
The value of
(-3)
2
−
3
3
(i)
-21
(ii)
-16
(iii)
-18
(iv)
-19
(v)
(-18)
2
Question
14
14.
The value of
4
-2
−
(-4)
-3
(i)
2
(
5
64
)
(ii)
7
64
(iii)
5
64
(iv)
3
64
(v)
5
62
Question
15
15.
The value of
2
(
-3
2
)
−
3
(
4
3
)
(i)
(
-11
108
)
(ii)
(
-13
108
)
(iii)
(
-13
106
)
(iv)
(
-5
36
)
(v)
2
(
-13
108
)
Question
16
16.
The value of
-2
(
-5
3
)
−
-2
(
1
2
)
(i)
(
-93
25
)
(ii)
2
(
-91
25
)
(iii)
(
-89
25
)
(iv)
(
-91
25
)
(v)
(
-91
23
)
Question
17
17.
The value of
3
3
✕
(-2)
3
(i)
-216
(ii)
(-216)
2
(iii)
-219
(iv)
-217
(v)
-213
Question
18
18.
The value of
(-3)
-2
✕
3
-2
(i)
81
-2
(ii)
78
-1
(iii)
82
-1
(iv)
81
-1
(v)
84
-1
Question
19
19.
The value of
2
(
-5
2
)
✕
3
(
2
3
)
(i)
2
(
50
27
)
(ii)
52
27
(iii)
16
9
(iv)
2
(v)
50
27
Question
20
20.
The value of
-3
(
-2
3
)
✕
-3
(
1
3
)
(i)
(
-731
8
)
(ii)
(
-243
2
)
(iii)
2
(
-729
8
)
(iv)
(
-727
8
)
(v)
(
-729
8
)
Question
21
21.
The value of
4
2
÷
5
3
(i)
16
123
(ii)
18
125
(iii)
14
125
(iv)
2
(
16
125
)
(v)
16
125
Question
22
22.
The value of
(-4)
-2
÷
5
-3
(i)
2
(
125
16
)
(ii)
125
16
(iii)
125
14
(iv)
123
16
(v)
127
16
Question
23
23.
The value of
3
(
4
3
)
÷
3
(
1
2
)
(i)
512
27
(ii)
2
(
512
27
)
(iii)
512
25
(iv)
514
27
(v)
170
9
Question
24
24.
The value of
-2
(
5
3
)
÷
-3
(
-3
2
)
(i)
2
(
-243
200
)
(ii)
(
-27
22
)
(iii)
(
-241
200
)
(iv)
(
-243
200
)
(v)
(
-49
40
)
Question
25
25.
Find the
square root
of
16
(i)
4
(ii)
1
(iii)
5
(iv)
3
(v)
6
Question
26
26.
Find the
cube root
of
125
(i)
6
(ii)
4
(iii)
5
(iv)
2
(v)
8
Question
27
27.
Find the
4th
root
of
256
(i)
2
(ii)
5
(iii)
4
(iv)
7
(v)
3
Question
28
28.
Find the
5th
root
of
-243
(i)
-2
(ii)
-4
(iii)
-3
(iv)
-6
(v)
0
Question
29
29.
Find the
6th
root
of
64
(i)
1
(ii)
5
(iii)
3
(iv)
0
(v)
2
Question
30
30.
Find the
square root
of
9
16
(i)
3
2
(ii)
1
4
(iii)
5
4
(iv)
3
4
(v)
1
2
Question
31
31.
Find the
cube root
of
(
-1
8
)
(i)
-1
(ii)
1
2
(iii)
(
-1
4
)
(iv)
(
-3
2
)
(v)
(
-1
2
)
Question
32
32.
Find the
4th
root
of
81
256
(i)
1
2
(ii)
1
4
(iii)
3
4
(iv)
5
4
(v)
3
2
Question
33
33.
Find the
5th
root
of
243
1024
(i)
5
4
(ii)
3
2
(iii)
1
2
(iv)
1
4
(v)
3
4
Question
34
34.
Find the
6th
root
of
729
64
(i)
5
2
(ii)
3
4
(iii)
3
2
(iv)
3
(v)
1
2
Question
35
35.
Find the value of
(
5
2
)
25
(i)
3123
(ii)
3126
(iii)
3125
(iv)
3128
(v)
3124
Question
36
36.
Find the value of
(
5
4
)
16
(i)
33
(ii)
31
(iii)
30
(iv)
35
(v)
32
Question
37
37.
Find the value of
(
-3
5
)
(-3125)
(i)
(
-1
125
)
(ii)
(
-1
127
)
(iii)
(
-3
125
)
(iv)
1
125
(v)
(
-1
123
)
Question
38
38.
Find the value of
(
-2/3
)
(
-8
27
)
(i)
9
4
(ii)
3
2
(iii)
7
4
(iv)
9
2
(v)
11
4
Question
39
39.
-2
(
1
5
)
+
-2
(
1
3
)
=
(i)
33
(ii)
31
(iii)
37
(iv)
34
(v)
35
Question
40
40.
-1
6
=
(i)
undefined
(ii)
1
(iii)
0
(iv)
∞
(v)
-1
Question
41
41.
-1
7
=
(i)
∞
(ii)
undefined
(iii)
0
(iv)
-1
(v)
1
Question
42
42.
3
0
=
(i)
undefined
(ii)
0
(iii)
∞
(iv)
-1
(v)
1
Question
43
43.
0
0
=
(i)
0
(ii)
1
(iii)
∞
(iv)
-1
(v)
undefined
Question
44
44.
-10
0
=
(i)
undefined
(ii)
-1
(iii)
0
(iv)
∞
(v)
1
Question
45
45.
0
4
=
(i)
undefined
(ii)
∞
(iii)
1
(iv)
-1
(v)
0
Question
46
46.
√
169
196
=
(i)
15
14
(ii)
11
14
(iii)
13
12
(iv)
13
14
(v)
13
16
Question
47
47.
3
√
1
125
=
(i)
1
7
(ii)
(
-1
5
)
(iii)
1
3
(iv)
1
5
(v)
3
5
Question
48
48.
√
1.4400
=
(i)
0.12
(ii)
1.4
(iii)
1.1
(iv)
1.2
(v)
1.3
Question
49
49.
3
√
0.2160
=
(i)
0.5
(ii)
0.6
(iii)
0.06
(iv)
0.7
(v)
0.8
Question
50
50.
Simplify
3
√
64
+
3
√
1331
3
√
216
−
3
√
8
=
(i)
13
4
(ii)
17
4
(iii)
15
6
(iv)
15
2
(v)
15
4
Question
51
51.
Simplify
√
4
−
√
144
√
81
+
√
100
=
(i)
(
-10
19
)
(ii)
(
-8
19
)
(iii)
(
-10
21
)
(iv)
(
-12
19
)
(v)
(
-10
17
)
Question
52
52.
Simplify
9
-1
+
8
0
+
4
1
+
6
-1
(i)
85
16
(ii)
31
6
(iii)
95
18
(iv)
21
4
(v)
97
18
Assignment Key
1) (ii)
2) (iv)
3) (iv)
4) (i)
5) (v)
6) (i)
7) (ii)
8) (ii)
9) (i)
10) (iii)
11) (iii)
12) (iii)
13) (iii)
14) (iii)
15) (ii)
16) (iv)
17) (i)
18) (iv)
19) (v)
20) (v)
21) (v)
22) (ii)
23) (i)
24) (iv)
25) (i)
26) (iii)
27) (iii)
28) (iii)
29) (v)
30) (iv)
31) (v)
32) (iii)
33) (v)
34) (iii)
35) (iii)
36) (v)
37) (i)
38) (i)
39) (iv)
40) (ii)
41) (iv)
42) (v)
43) (v)
44) (v)
45) (v)
46) (iv)
47) (iv)
48) (iv)
49) (ii)
50) (v)
51) (i)
52) (iii)
