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)
4
(ii)
8
(iii)
0
(iv)
16
(v)
125
Question
2
2.
Expand the following base power
5
-4
(i)
1
625
(ii)
1
2401
(iii)
1
125
(iv)
1
81
(v)
1
3125
Question
3
3.
Expand the following base power
(-2)
3
(i)
4
(ii)
-125
(iii)
64
(iv)
16
(v)
-8
Question
4
4.
Expand the following base power
(-4)
-4
(i)
(
-1
64
)
(ii)
(
-1
1024
)
(iii)
1
256
(iv)
1
(v)
1
2401
Question
5
5.
Expand the following base power
5
(
2
5
)
(i)
16
625
(ii)
32
3125
(iii)
8
125
(iv)
1024
3125
(v)
64
15625
Question
6
6.
Expand the following base power
-4
(
2
5
)
(i)
15625
64
(ii)
125
8
(iii)
625
256
(iv)
625
16
(v)
3125
32
Question
7
7.
Expand the following base power
2
(
-5
2
)
(i)
49
4
(ii)
9
4
(iii)
(
-125
8
)
(iv)
(
-5
2
)
(v)
25
4
Question
8
8.
Expand the following base power
-4
(
-4
3
)
(i)
(
-27
64
)
(ii)
81
16
(iii)
(
-243
1024
)
(iv)
81
256
(v)
1
16
Question
9
9.
The value of
(-4)
2
+
(-3)
2
(i)
25
(ii)
25
2
(iii)
24
(iv)
27
(v)
22
Question
10
10.
The value of
(-4)
-2
+
5
-2
(i)
2
(
41
400
)
(ii)
41
400
(iii)
41
398
(iv)
39
400
(v)
43
400
Question
11
11.
The value of
2
(
1
3
)
+
3
(
1
2
)
(i)
5
24
(ii)
17
72
(iii)
17
70
(iv)
2
(
17
72
)
(v)
19
72
Question
12
12.
The value of
-2
(
-2
3
)
+
-2
(
-1
3
)
(i)
45
2
(ii)
43
4
(iii)
45
4
(iv)
2
(
45
4
)
(v)
47
4
Question
13
13.
The value of
2
2
−
(-5)
3
(i)
129
2
(ii)
128
(iii)
127
(iv)
132
(v)
129
Question
14
14.
The value of
(-5)
-3
−
(-4)
-2
(i)
(
-141
2000
)
(ii)
(
-47
666
)
(iii)
(
-143
2000
)
(iv)
2
(
-141
2000
)
(v)
(
-139
2000
)
Question
15
15.
The value of
2
(
-1
3
)
−
2
(
-5
3
)
(i)
-2
(ii)
2
(
-8
3
)
(iii)
(
-10
3
)
(iv)
-8
(v)
(
-8
3
)
Question
16
16.
The value of
-2
(
-5
3
)
−
-3
(
1
3
)
(i)
(
-664
25
)
(ii)
2
(
-666
25
)
(iii)
(
-668
25
)
(iv)
(
-666
25
)
(v)
(
-666
23
)
Question
17
17.
The value of
5
3
✕
(-3)
2
(i)
1125
(ii)
1127
(iii)
1123
(iv)
1125
2
(v)
1124
Question
18
18.
The value of
(-3)
-2
✕
2
-2
(i)
36
-2
(ii)
36
-1
(iii)
39
-1
(iv)
33
-1
(v)
37
-1
Question
19
19.
The value of
3
(
-1
2
)
✕
3
(
2
3
)
(i)
(
-1
27
)
(ii)
1
27
(iii)
(
-1
9
)
(iv)
(
-1
25
)
(v)
2
(
-1
27
)
Question
20
20.
The value of
-2
(
-5
2
)
✕
-3
(
3
2
)
(i)
2
(
32
675
)
(ii)
34
675
(iii)
32
673
(iv)
2
45
(v)
32
675
Question
21
21.
The value of
(-2)
2
÷
5
3
(i)
2
(
4
125
)
(ii)
6
125
(iii)
4
125
(iv)
4
123
(v)
2
125
Question
22
22.
The value of
(-5)
-2
÷
(-2)
-3
(i)
(
-8
25
)
(ii)
(
-2
5
)
(iii)
(
-6
25
)
(iv)
2
(
-8
25
)
(v)
(
-8
23
)
Question
23
23.
The value of
3
(
-1
3
)
÷
2
(
5
3
)
(i)
(
-1
75
)
(ii)
(
-1
25
)
(iii)
2
(
-1
75
)
(iv)
(
-1
73
)
(v)
1
75
Question
24
24.
The value of
-3
(
2
3
)
÷
-2
(
-2
3
)
(i)
3
(ii)
1
2
(iii)
2
(
3
2
)
(iv)
5
2
(v)
3
2
Question
25
25.
Find the
square root
of
16
(i)
4
(ii)
3
(iii)
1
(iv)
5
(v)
6
Question
26
26.
Find the
cube root
of
8
(i)
2
(ii)
1
(iii)
0
(iv)
3
(v)
4
Question
27
27.
Find the
4th
root
of
16
(i)
5
(ii)
-1
(iii)
1
(iv)
3
(v)
2
Question
28
28.
Find the
5th
root
of
32
(i)
1
(ii)
2
(iii)
5
(iv)
-1
(v)
3
Question
29
29.
Find the
6th
root
of
729
(i)
1
(ii)
2
(iii)
4
(iv)
3
(v)
6
Question
30
30.
Find the
square root
of
25
16
(i)
3
4
(ii)
5
4
(iii)
7
6
(iv)
7
4
(v)
3
2
Question
31
31.
Find the
cube root
of
(
-27
8
)
(i)
-3
(ii)
(
-1
2
)
(iii)
(
-3
2
)
(iv)
(
-5
2
)
(v)
(
-3
4
)
Question
32
32.
Find the
4th
root
of
1
625
(i)
1
7
(ii)
3
5
(iii)
(
-1
5
)
(iv)
1
5
(v)
1
3
Question
33
33.
Find the
5th
root
of
1024
243
(i)
4
3
(ii)
4
(iii)
4
5
(iv)
2
3
(v)
2
Question
34
34.
Find the
6th
root
of
1
64
(i)
(
-1
2
)
(ii)
1
(iii)
3
2
(iv)
1
4
(v)
1
2
Question
35
35.
Find the value of
(
5
3
)
(-8)
(i)
-33
(ii)
-31
(iii)
-35
(iv)
-30
(v)
-32
Question
36
36.
Find the value of
(
5
3
)
125
(i)
3126
(ii)
3124
(iii)
3122
(iv)
3125
(v)
3127
Question
37
37.
Find the value of
(
-2
5
)
(-243)
(i)
1
9
(ii)
1
11
(iii)
1
3
(iv)
1
7
(v)
(
-1
9
)
Question
38
38.
Find the value of
-2
(
5
3
)
(i)
7
25
(ii)
11
25
(iii)
9
23
(iv)
9
25
(v)
1
3
Question
39
39.
-4
(
1
3
)
+
-2
(
1
6
)
+
-2
(
1
4
)
+
-4
(
1
6
)
=
(i)
1431
(ii)
1429
(iii)
1430
(iv)
1428
(v)
1427
Question
40
40.
-1
2
=
(i)
-1
(ii)
0
(iii)
undefined
(iv)
∞
(v)
1
Question
41
41.
-1
9
=
(i)
∞
(ii)
undefined
(iii)
1
(iv)
-1
(v)
0
Question
42
42.
5
0
=
(i)
0
(ii)
-1
(iii)
∞
(iv)
1
(v)
undefined
Question
43
43.
0
0
=
(i)
1
(ii)
0
(iii)
∞
(iv)
-1
(v)
undefined
Question
44
44.
-3
0
=
(i)
undefined
(ii)
-1
(iii)
0
(iv)
1
(v)
∞
Question
45
45.
0
3
=
(i)
∞
(ii)
0
(iii)
1
(iv)
-1
(v)
undefined
Question
46
46.
√
49
225
=
(i)
7
17
(ii)
7
15
(iii)
1
3
(iv)
3
5
(v)
7
13
Question
47
47.
3
√
1
8
=
(i)
1
(ii)
3
2
(iii)
1
4
(iv)
1
2
(v)
(
-1
2
)
Question
48
48.
√
0.1600
=
(i)
0.4
(ii)
0.5
(iii)
0.6
(iv)
0.04
(v)
0.3
Question
49
49.
3
√
0.5120
=
(i)
0.9
(ii)
1
(iii)
0.08
(iv)
0.8
(v)
0.7
Question
50
50.
Simplify
3
√
512
+
3
√
1000
3
√
1728
−
3
√
1331
=
(i)
15
(ii)
18
(iii)
21
(iv)
19
(v)
17
Question
51
51.
Simplify
√
49
−
√
36
√
4
+
√
9
=
(i)
3
5
(ii)
(
-1
5
)
(iii)
1
5
(iv)
1
7
(v)
1
3
Question
52
52.
Simplify
5
-1
+
3
0
+
8
1
+
2
-1
(i)
99
10
(ii)
97
10
(iii)
79
8
(iv)
19
2
(v)
115
12
Assignment Key
1) (ii)
2) (i)
3) (v)
4) (iii)
5) (ii)
6) (iv)
7) (v)
8) (iv)
9) (i)
10) (ii)
11) (ii)
12) (iii)
13) (v)
14) (i)
15) (v)
16) (iv)
17) (i)
18) (ii)
19) (i)
20) (v)
21) (iii)
22) (i)
23) (i)
24) (v)
25) (i)
26) (i)
27) (v)
28) (ii)
29) (iv)
30) (ii)
31) (iii)
32) (iv)
33) (i)
34) (v)
35) (v)
36) (iv)
37) (i)
38) (iv)
39) (ii)
40) (v)
41) (iv)
42) (iv)
43) (v)
44) (iv)
45) (ii)
46) (ii)
47) (iv)
48) (i)
49) (iv)
50) (ii)
51) (iii)
52) (ii)
