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
5
3
(i)
25
(ii)
625
(iii)
125
(iv)
512
(v)
8
Question
2
2.
Expand the following base power
2
-2
(i)
1
2
(ii)
1
4
(iii)
1
16
(iv)
1
8
Question
3
3.
Expand the following base power
(-3)
5
(i)
-7776
(ii)
729
(iii)
-243
(iv)
81
(v)
-2187
Question
4
4.
Expand the following base power
(-2)
-2
(i)
1
4
(ii)
(
-1
2
)
(iii)
-2
(iv)
1
25
(v)
(
-1
8
)
Question
5
5.
Expand the following base power
3
(
1
4
)
(i)
1
16
(ii)
1
64
(iii)
27
64
(iv)
(
-1
64
)
(v)
1
256
Question
6
6.
Expand the following base power
-4
(
1
4
)
(i)
1024
(ii)
256
81
(iii)
256
(iv)
64
Question
7
7.
Expand the following base power
5
(
-5
2
)
(i)
(
-243
32
)
(ii)
15625
64
(iii)
(
-16807
32
)
(iv)
(
-3125
32
)
(v)
625
16
Question
8
8.
Expand the following base power
-3
(
-2
5
)
(i)
(
-5
2
)
(ii)
(
-125
8
)
(iii)
(
-125
64
)
(iv)
25
4
(v)
625
16
Question
9
9.
The value of
4
2
+
(-2)
2
(i)
20
2
(ii)
20
(iii)
17
(iv)
23
(v)
19
Question
10
10.
The value of
5
-2
+
2
-2
(i)
29
100
(ii)
31
100
(iii)
2
(
29
100
)
(iv)
29
98
(v)
27
100
Question
11
11.
The value of
2
(
4
3
)
+
2
(
-2
3
)
(i)
2
(ii)
20
7
(iii)
22
9
(iv)
2
(
20
9
)
(v)
20
9
Question
12
12.
The value of
-2
(
2
3
)
+
-3
(
3
2
)
(i)
275
106
(ii)
2
(
275
108
)
(iii)
91
36
(iv)
275
108
(v)
277
108
Question
13
13.
The value of
3
3
−
2
3
(i)
18
(ii)
17
(iii)
19
(iv)
21
(v)
19
2
Question
14
14.
The value of
(-5)
-2
−
(-2)
-3
(i)
33
200
(ii)
7
40
(iii)
31
200
(iv)
1
6
(v)
2
(
33
200
)
Question
15
15.
The value of
3
(
-5
3
)
−
2
(
1
3
)
(i)
2
(
-128
27
)
(ii)
(
-128
27
)
(iii)
(
-130
27
)
(iv)
(
-14
3
)
(v)
(
-128
25
)
Question
16
16.
The value of
-3
(
3
2
)
−
-3
(
-5
2
)
(i)
2
(
1216
3375
)
(ii)
1214
3375
(iii)
406
1125
(iv)
1216
3373
(v)
1216
3375
Question
17
17.
The value of
2
2
✕
2
3
(i)
32
2
(ii)
31
(iii)
35
(iv)
29
(v)
32
Question
18
18.
The value of
5
-2
✕
(-4)
-3
(i)
(
-1
1600
)
(ii)
(
-1
1598
)
(iii)
(
-3
1600
)
(iv)
1
1600
(v)
2
(
-1
1600
)
Question
19
19.
The value of
2
(
-4
3
)
✕
2
(
4
3
)
(i)
2
(
256
81
)
(ii)
256
81
(iii)
256
79
(iv)
86
27
(v)
254
81
Question
20
20.
The value of
-3
(
5
2
)
✕
-2
(
-3
2
)
(i)
32
1125
(ii)
32
1123
(iii)
34
1125
(iv)
2
75
(v)
2
(
32
1125
)
Question
21
21.
The value of
(-4)
3
÷
3
3
(i)
(
-64
25
)
(ii)
(
-22
9
)
(iii)
2
(
-64
27
)
(iv)
(
-62
27
)
(v)
(
-64
27
)
Question
22
22.
The value of
(-5)
-2
÷
5
-3
(i)
5
(ii)
2
(iii)
8
(iv)
5
2
(v)
4
Question
23
23.
The value of
2
(
-5
2
)
÷
3
(
1
3
)
(i)
673
4
(ii)
2
(
675
4
)
(iii)
675
2
(iv)
675
4
(v)
677
4
Question
24
24.
The value of
-2
(
5
2
)
÷
-3
(
1
2
)
(i)
50
-2
(ii)
47
-1
(iii)
53
-1
(iv)
50
-1
(v)
51
-1
Question
25
25.
Find the
square root
of
16
(i)
3
(ii)
2
(iii)
6
(iv)
5
(v)
4
Question
26
26.
Find the
cube root
of
-8
(i)
-3
(ii)
1
(iii)
-4
(iv)
-2
(v)
-1
Question
27
27.
Find the
4th
root
of
625
(i)
6
(ii)
8
(iii)
5
(iv)
3
(v)
4
Question
28
28.
Find the
5th
root
of
1024
(i)
3
(ii)
7
(iii)
5
(iv)
2
(v)
4
Question
29
29.
Find the
6th
root
of
4096
(i)
3
(ii)
6
(iii)
2
(iv)
4
(v)
5
Question
30
30.
Find the
square root
of
9
4
(i)
3
2
(ii)
5
2
(iii)
2
(iv)
1
2
(v)
5
4
Question
31
31.
Find the
cube root
of
(
-1
64
)
(i)
(
-1
2
)
(ii)
1
4
(iii)
(
-1
4
)
(iv)
(
-3
4
)
(v)
(
-1
6
)
Question
32
32.
Find the
4th
root
of
1
81
(i)
1
(ii)
1
5
(iii)
(
-1
3
)
(iv)
1
3
Question
33
33.
Find the
5th
root
of
243
32
(i)
5
2
(ii)
3
(iii)
3
4
(iv)
3
2
(v)
1
2
Question
34
34.
Find the
6th
root
of
1
729
(i)
(
-1
3
)
(ii)
1
(iii)
1
3
(iv)
1
5
Question
35
35.
Find the value of
(-4)
3
(i)
-65
(ii)
-62
(iii)
-66
(iv)
-63
(v)
-64
Question
36
36.
Find the value of
(
4
3
)
(-64)
(i)
257
(ii)
255
(iii)
254
(iv)
258
(v)
256
Question
37
37.
Find the value of
(-4)
-5
(i)
(
-3
1024
)
(ii)
(
-1
1026
)
(iii)
(
-1
1024
)
(iv)
(
-1
1022
)
(v)
1
1024
Question
38
38.
Find the value of
(
-3
5
)
(-1024)
(i)
(
-1
62
)
(ii)
(
-1
64
)
(iii)
1
64
(iv)
(
-3
64
)
(v)
(
-1
66
)
Question
39
39.
-4
(
1
3
)
+
-3
(
1
3
)
+
-2
(
1
4
)
+
-4
(
1
5
)
=
(i)
748
(ii)
747
(iii)
750
(iv)
751
(v)
749
Question
40
40.
-1
8
=
(i)
undefined
(ii)
1
(iii)
∞
(iv)
-1
(v)
0
Question
41
41.
-1
7
=
(i)
0
(ii)
-1
(iii)
∞
(iv)
undefined
(v)
1
Question
42
42.
4
0
=
(i)
1
(ii)
-1
(iii)
∞
(iv)
0
(v)
undefined
Question
43
43.
0
0
=
(i)
∞
(ii)
-1
(iii)
1
(iv)
undefined
(v)
0
Question
44
44.
-6
0
=
(i)
undefined
(ii)
1
(iii)
-1
(iv)
0
(v)
∞
Question
45
45.
0
6
=
(i)
undefined
(ii)
∞
(iii)
-1
(iv)
1
(v)
0
Question
46
46.
√
121
64
=
(i)
11
6
(ii)
13
8
(iii)
11
8
(iv)
9
8
(v)
11
10
Question
47
47.
3
√
1
64
=
(i)
1
4
(ii)
1
6
(iii)
(
-1
4
)
(iv)
1
2
(v)
3
4
Question
48
48.
√
0.8100
=
(i)
0.8
(ii)
0.09
(iii)
1.1
(iv)
0.9
(v)
1
Question
49
49.
3
√
0.2160
=
(i)
0.06
(ii)
0.5
(iii)
0.6
(iv)
0.7
(v)
0.8
Question
50
50.
Simplify
3
√
1000
+
3
√
216
3
√
8
−
3
√
343
=
(i)
(
-16
7
)
(ii)
(
-14
5
)
(iii)
(
-16
5
)
(iv)
(
-16
3
)
(v)
(
-18
5
)
Question
51
51.
Simplify
√
64
−
√
16
√
25
+
√
100
=
(i)
4
13
(ii)
4
17
(iii)
2
5
(iv)
2
15
(v)
4
15
Question
52
52.
Simplify
8
-1
+
9
0
+
5
1
+
7
-1
(i)
351
56
(ii)
349
56
(iii)
353
56
(iv)
113
18
(v)
363
58
Assignment Key
1) (iii)
2) (ii)
3) (iii)
4) (i)
5) (ii)
6) (iii)
7) (iv)
8) (ii)
9) (ii)
10) (i)
11) (v)
12) (iv)
13) (iii)
14) (i)
15) (ii)
16) (v)
17) (v)
18) (i)
19) (ii)
20) (i)
21) (v)
22) (i)
23) (iv)
24) (iv)
25) (v)
26) (iv)
27) (iii)
28) (v)
29) (iv)
30) (i)
31) (iii)
32) (iv)
33) (iv)
34) (iii)
35) (v)
36) (v)
37) (iii)
38) (ii)
39) (v)
40) (ii)
41) (ii)
42) (i)
43) (iv)
44) (ii)
45) (v)
46) (iii)
47) (i)
48) (iv)
49) (iii)
50) (iii)
51) (v)
52) (i)
