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
3
4
(i)
625
(ii)
27
(iii)
81
(iv)
243
(v)
3
Question
2
2.
Expand the following base power
5
-3
(i)
1
25
(ii)
1
625
(iii)
1
343
(iv)
1
8
(v)
1
125
Question
3
3.
Expand the following base power
(-4)
4
(i)
1
(ii)
-64
(iii)
-1024
(iv)
1296
(v)
256
Question
4
4.
Expand the following base power
(-4)
-4
(i)
1
256
(ii)
(
-1
1024
)
(iii)
1
16
(iv)
1
1296
(v)
(
-1
64
)
Question
5
5.
Expand the following base power
4
(
1
4
)
(i)
1
64
(ii)
1
1024
(iii)
81
256
(iv)
1
256
Question
6
6.
Expand the following base power
-4
(
1
2
)
(i)
16
81
(ii)
32
(iii)
8
(iv)
16
Question
7
7.
Expand the following base power
4
(
-1
3
)
(i)
(
-1
27
)
(ii)
1
(iii)
1
81
(iv)
(
-1
243
)
Question
8
8.
Expand the following base power
-2
(
-5
2
)
(i)
4
9
(ii)
(
-2
5
)
(iii)
4
49
(iv)
(
-8
125
)
(v)
4
25
Question
9
9.
The value of
5
2
+
2
3
(i)
33
2
(ii)
36
(iii)
33
(iv)
32
(v)
30
Question
10
10.
The value of
5
-3
+
5
-3
(i)
2
125
(ii)
4
125
(iii)
2
(
2
125
)
(iv)
2
123
(v)
-2
(
2
125
)
Question
11
11.
The value of
3
(
4
3
)
+
2
(
-1
3
)
(i)
65
27
(ii)
23
9
(iii)
67
27
(iv)
67
25
(v)
2
(
67
27
)
Question
12
12.
The value of
-3
(
-3
2
)
+
-2
(
5
2
)
(i)
(
-2
15
)
(ii)
2
(
-92
675
)
(iii)
(
-92
675
)
(iv)
(
-94
675
)
(v)
(
-92
673
)
Question
13
13.
The value of
4
3
−
(-3)
2
(i)
54
(ii)
55
(iii)
53
(iv)
58
(v)
55
2
Question
14
14.
The value of
(-3)
-2
−
(-3)
-2
(i)
-3
(ii)
3
(iii)
-1
(iv)
0
Question
15
15.
The value of
3
(
5
3
)
−
2
(
-4
3
)
(i)
79
27
(ii)
77
25
(iii)
77
27
(iv)
2
(
77
27
)
(v)
25
9
Question
16
16.
The value of
-3
(
-1
3
)
−
-2
(
-4
3
)
(i)
2
(
-441
16
)
(ii)
(
-441
16
)
(iii)
(
-443
16
)
(iv)
(
-439
16
)
(v)
(
-63
2
)
Question
17
17.
The value of
5
2
✕
(-2)
3
(i)
-203
(ii)
-201
(iii)
-200
(iv)
-198
(v)
(-200)
2
Question
18
18.
The value of
4
-3
✕
3
-2
(i)
574
-1
(ii)
577
-1
(iii)
576
-2
(iv)
578
-1
(v)
576
-1
Question
19
19.
The value of
3
(
-4
3
)
✕
2
(
1
3
)
(i)
(
-62
243
)
(ii)
(
-64
243
)
(iii)
(
-64
241
)
(iv)
2
(
-64
243
)
(v)
(
-22
81
)
Question
20
20.
The value of
-3
(
-5
2
)
✕
-3
(
-5
3
)
(i)
216
15625
(ii)
218
15625
(iii)
2
(
216
15625
)
(iv)
216
15623
(v)
214
15625
Question
21
21.
The value of
(-3)
3
÷
(-5)
2
(i)
(
-27
23
)
(ii)
(
-27
25
)
(iii)
2
(
-27
25
)
(iv)
(
-29
25
)
(v)
-1
Question
22
22.
The value of
(-4)
-2
÷
(-2)
-2
(i)
4
-1
(ii)
2
-1
(iii)
6
-1
(iv)
5
-1
(v)
4
-2
Question
23
23.
The value of
2
(
2
3
)
÷
3
(
-3
2
)
(i)
(
-10
81
)
(ii)
(
-32
243
)
(iii)
2
(
-32
243
)
(iv)
(
-32
241
)
(v)
(
-34
243
)
Question
24
24.
The value of
-3
(
-1
2
)
÷
-2
(
4
3
)
(i)
(
-128
9
)
(ii)
2
(
-128
9
)
(iii)
(
-130
9
)
(iv)
-14
(v)
(
-128
7
)
Question
25
25.
Find the
square root
of
9
(i)
3
(ii)
5
(iii)
2
(iv)
0
(v)
4
Question
26
26.
Find the
cube root
of
-125
(i)
-2
(ii)
-6
(iii)
-8
(iv)
-5
(v)
-4
Question
27
27.
Find the
4th
root
of
256
(i)
6
(ii)
3
(iii)
4
(iv)
1
(v)
5
Question
28
28.
Find the
5th
root
of
1024
(i)
2
(ii)
4
(iii)
3
(iv)
5
(v)
7
Question
29
29.
Find the
6th
root
of
64
(i)
1
(ii)
3
(iii)
0
(iv)
2
(v)
4
Question
30
30.
Find the
square root
of
16
9
(i)
4
3
(ii)
2
3
(iii)
2
(iv)
6
5
Question
31
31.
Find the
cube root
of
1
8
(i)
3
2
(ii)
(
-1
2
)
(iii)
1
(iv)
1
4
(v)
1
2
Question
32
32.
Find the
4th
root
of
625
81
(i)
1
(ii)
5
(iii)
7
3
(iv)
5
3
Question
33
33.
Find the
5th
root
of
(
-243
1024
)
(i)
(
-3
2
)
(ii)
(
-5
4
)
(iii)
(
-3
4
)
(iv)
(
-1
2
)
(v)
(
-1
4
)
Question
34
34.
Find the
6th
root
of
729
64
(i)
5
2
(ii)
1
2
(iii)
2
(iv)
3
2
(v)
5
4
Question
35
35.
Find the value of
(
3
2
)
25
(i)
125
(ii)
124
(iii)
126
(iv)
127
(v)
122
Question
36
36.
Find the value of
(
5
2
)
4
(i)
31
(ii)
32
(iii)
30
(iv)
35
(v)
33
Question
37
37.
Find the value of
(
-5
3
)
125
(i)
1
3125
(ii)
1
3127
(iii)
(
-1
3125
)
(iv)
1
3123
(v)
3
3125
Question
38
38.
Find the value of
(
-5
4
)
81
(i)
1
81
(ii)
1
245
(iii)
(
-1
243
)
(iv)
1
241
(v)
1
243
Question
39
39.
-4
(
1
6
)
+
-4
(
1
4
)
=
(i)
1552
(ii)
1549
(iii)
1551
(iv)
1553
(v)
1554
Question
40
40.
-1
6
=
(i)
1
(ii)
∞
(iii)
0
(iv)
undefined
(v)
-1
Question
41
41.
-1
7
=
(i)
1
(ii)
0
(iii)
undefined
(iv)
-1
(v)
∞
Question
42
42.
6
0
=
(i)
1
(ii)
-1
(iii)
undefined
(iv)
0
(v)
∞
Question
43
43.
0
0
=
(i)
undefined
(ii)
0
(iii)
-1
(iv)
∞
(v)
1
Question
44
44.
-9
0
=
(i)
∞
(ii)
1
(iii)
-1
(iv)
undefined
(v)
0
Question
45
45.
0
4
=
(i)
-1
(ii)
0
(iii)
∞
(iv)
undefined
(v)
1
Question
46
46.
√
169
144
=
(i)
13
10
(ii)
13
12
(iii)
5
4
(iv)
13
14
(v)
11
12
Question
47
47.
3
√
125
1331
=
(i)
5
9
(ii)
7
11
(iii)
5
11
(iv)
5
13
(v)
3
11
Question
48
48.
√
1.2100
=
(i)
1.3
(ii)
1.1
(iii)
1.2
(iv)
1
(v)
0.11
Question
49
49.
3
√
0.0080
=
(i)
0.4
(ii)
0.1
(iii)
0.2
(iv)
0.02
(v)
0.3
Question
50
50.
Simplify
3
√
512
+
3
√
64
3
√
343
−
3
√
1331
=
(i)
-6
(ii)
(
-14
4
)
(iii)
(
-10
4
)
(iv)
-2
(v)
-3
Question
51
51.
Simplify
√
144
−
√
100
√
25
+
√
16
=
(i)
2
11
(ii)
0
(iii)
2
7
(iv)
4
9
(v)
2
9
Question
52
52.
Simplify
8
-1
+
7
0
+
2
1
+
4
-1
(i)
7
2
(ii)
29
8
(iii)
25
8
(iv)
33
10
(v)
27
8
Assignment Key
1) (iii)
2) (v)
3) (v)
4) (i)
5) (iv)
6) (iv)
7) (iii)
8) (v)
9) (iii)
10) (i)
11) (iii)
12) (iii)
13) (ii)
14) (iv)
15) (iii)
16) (ii)
17) (iii)
18) (v)
19) (ii)
20) (i)
21) (ii)
22) (i)
23) (ii)
24) (i)
25) (i)
26) (iv)
27) (iii)
28) (ii)
29) (iv)
30) (i)
31) (v)
32) (iv)
33) (iii)
34) (iv)
35) (i)
36) (ii)
37) (i)
38) (v)
39) (i)
40) (i)
41) (iv)
42) (i)
43) (i)
44) (ii)
45) (ii)
46) (ii)
47) (iii)
48) (ii)
49) (iii)
50) (v)
51) (v)
52) (v)
