EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Indices
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
The value of
2
(
-3
2
)
÷
3
(
5
3
)
(i)
241
500
(ii)
81
166
(iii)
2
(
243
500
)
(iv)
243
500
(v)
49
100
Question
2
2.
Evaluate
(
b
1
3
+
c
1
3
)
(
b
2
3
−
b
1
3
c
1
3
+
c
2
3
)
=
(i)
0
(ii)
(
b
+
c
)
2
(iii)
b
−
c
(iv)
b
+
c
(v)
(
b
−
c
)
2
Question
3
3.
Simplify the expression
5
-6
✕
5
-6
(i)
7
-12
(ii)
5
-11
(iii)
5
-13
(iv)
5
-12
(v)
3
-12
Question
4
4.
Find the
4th
root
of
81
(i)
5
(ii)
2
(iii)
3
(iv)
4
(v)
0
Question
5
5.
(-4)
5
(
-2
3
)
(-4)
=
(i)
(-4)
7
(ii)
(
17
3
)
(-1)
(iii)
(
17
3
)
(-4)
(iv)
(
17
3
)
(-6)
(v)
(
27
5
)
(-4)
Question
6
6.
Simplify the expression
(-3)
-9
✕
(-3)
-9
(i)
(-3)
-18
(ii)
(-3)
-19
(iii)
(-3)
-17
(iv)
(-6)
-18
(v)
(-1)
-18
Question
7
7.
(
p
4
q
4
)
7
=
(i)
p
28
q
28
(ii)
7
p
11
q
11
(iii)
7
p
4
q
4
(iv)
7
p
28
q
28
(v)
p
11
q
11
Question
8
8.
(
e
14
e
2
)
4
=
(i)
4
e
12
(ii)
4
e
16
(iii)
e
112
(iv)
e
64
(v)
e
48
Question
9
9.
3
√
27
64
=
(i)
3
2
(ii)
1
2
(iii)
1
4
(iv)
5
4
(v)
3
4
Question
10
10.
The value of
-2
(
-1
2
)
✕
-3
(
1
3
)
(i)
108
(ii)
105
(iii)
108
2
(iv)
107
(v)
111
Question
11
11.
If
2
h
=
4
, find
h
(i)
1
(ii)
3
(iii)
4
(iv)
(-1)
(v)
2
Question
12
12.
Expand the following base power
3
(
2
5
)
(i)
64
125
(ii)
4
25
(iii)
2
5
(iv)
16
625
(v)
8
125
Question
13
13.
Simplify
(
v
e
v
f
)
g
(
v
f
v
g
)
e
(
v
g
v
e
)
f
(i)
1
(ii)
0
(iii)
-1
(iv)
v
(v)
v
(
e
+
f
+
g
)
Question
14
14.
(
4
(-6)
)
3
✕
(
6
5
)
-6
✕
(
8
2
)
-6
(
4
(-2)
)
-2
✕
(
6
6
)
-4
✕
(
8
(-6)
)
-4
=
(i)
4
(-22)
✕
6
(-6)
✕
8
(-36)
(ii)
4
(-22)
✕
6
(-6)
✕
8
(-35)
(iii)
4
(-21)
✕
6
(-6)
✕
8
(-36)
(iv)
4
(-22)
✕
6
(-5)
✕
8
(-36)
Question
15
15.
If
216
✕
6
c
=
6
8
, find
c
(i)
7
(ii)
4
(iii)
5
(iv)
2
(v)
6
Question
16
16.
3
k
8
.
5
k
2
.
6
k
7
.
4
k
9
=
(i)
12
k
144
(ii)
12
k
17
(iii)
360
k
26
(iv)
60
k
144
(v)
17
k
60
Question
17
17.
[
(
5
4
)
]
5
(-4)
=
(i)
(
25
4
)
(-4)
(ii)
(
25
4
)
(-6)
(iii)
(
25
4
)
(-2)
(iv)
(
13
2
)
(-4)
(v)
(
37
6
)
(-4)
Question
18
18.
Simplify
(
v
d
v
e
)
(
d
+
e
)
(
v
e
v
f
)
(
e
+
f
)
(
v
f
v
d
)
(
f
+
d
)
(i)
1
(ii)
v
(
d
+
e
+
f
)
(iii)
0
(iv)
-1
(v)
v
Question
19
19.
(
3
k
3
.
3
l
(-2)
)
-4
=
(i)
l
8
.
6561
k
(-12)
(ii)
k
8
6561
l
(-12)
(iii)
−
12
l
8
−
12
k
(-12)
(iv)
3
l
8
3
k
(-12)
(v)
l
8
6561
k
12
Question
20
20.
If
i
u
=
j
v
=
k
w
=
l
x
and
i
j
=
k
l
, then
(i)
1
v
+
1
w
=
1
u
+
1
x
(ii)
1
v
+
1
u
=
1
w
+
1
x
(iii)
v
w
=
u
x
(iv)
v
u
=
w
x
(v)
1
v
+
1
x
=
1
w
+
1
u
Question
21
21.
-8
0
=
(i)
undefined
(ii)
0
(iii)
-1
(iv)
∞
(v)
1
Question
22
22.
Evaluate
(
b
1
2
+
c
1
2
)
(
b
1
2
−
c
1
2
)
=
(i)
0
(ii)
(
b
+
c
)
2
(iii)
(
b
+
c
)
(iv)
1
(v)
(
b
−
c
)
Question
23
23.
The value of
2
-3
✕
(-4)
-2
(i)
128
-2
(ii)
130
-1
(iii)
126
-1
(iv)
128
-1
(v)
129
-1
Question
24
24.
Find the
5th
root
of
-32
(i)
-4
(ii)
-1
(iii)
-3
(iv)
-2
(v)
0
Question
25
25.
(
i
3
)
(
j
+
9
)
=
(i)
i
(
3
j
+
12
)
(ii)
i
(
3
j
−
27
)
(iii)
i
(
j
+
30
)
(iv)
i
(
3
j
+
27
)
(v)
i
(
j
+
15
)
Assignment Key
1) (iv)
2) (iv)
3) (iv)
4) (iii)
5) (iii)
6) (i)
7) (i)
8) (v)
9) (v)
10) (i)
11) (v)
12) (v)
13) (i)
14) (i)
15) (iii)
16) (iii)
17) (i)
18) (i)
19) (v)
20) (ii)
21) (v)
22) (v)
23) (iv)
24) (iv)
25) (iv)
