EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Indices
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
Simplify
2
2
2
2
(i)
3
(ii)
1
(iii)
0
(iv)
2
(v)
-2
Question
2
2.
(
a
−
b
)
5
.
(
a
−
b
)
8
=
(i)
(
a
−
b
)
40
(ii)
(
a
−
b
)
5
(iii)
(
a
−
b
)
8
(iv)
(
a
−
b
)
(-3)
(v)
(
a
−
b
)
13
Question
3
3.
Simplify
3
3
✕
2
-2
5
-2
✕
(-2)
-2
(i)
3
3
✕
5
2
(ii)
3
✕
5
2
(iii)
3
4
✕
5
2
(iv)
6
3
✕
5
2
(v)
3
3
✕
5
Question
4
4.
-2
(
1
5
)
+
-2
(
1
3
)
+
-4
(
1
4
)
+
-2
(
1
6
)
=
(i)
327
(ii)
323
(iii)
326
(iv)
325
(v)
328
Question
5
5.
If
34300
=
5
f
✕
2
g
✕
7
h
, find
f
,
g
,
h
(i)
(2,2,3)
(ii)
(2,2,4)
(iii)
(3,2,3)
(iv)
(2,3,3)
(v)
(3,2,2)
Question
6
6.
(
4
v
3
.
3
w
(-2)
)
-4
=
(i)
4
w
8
3
v
(-12)
(ii)
−
16
w
8
−
12
v
(-12)
(iii)
w
8
20736
v
12
(iv)
v
8
20736
w
(-12)
(v)
w
8
.
20736
v
(-12)
Question
7
7.
10
0
=
(i)
0
(ii)
1
(iii)
undefined
(iv)
∞
(v)
-1
Question
8
8.
-1
3
=
(i)
0
(ii)
undefined
(iii)
1
(iv)
∞
(v)
-1
Question
9
9.
Evaluate
(
a
1
3
−
b
1
3
)
(
a
2
3
+
a
1
3
b
1
3
+
b
2
3
)
=
(i)
(
a
+
b
)
2
(ii)
a
+
b
(iii)
(
a
−
b
)
2
(iv)
a
−
b
(v)
0
Question
10
10.
Find the
5th
root
of
243
(i)
3
(ii)
2
(iii)
4
(iv)
5
(v)
0
Question
11
11.
Find the square root of
n
2
o
6
p
2
=
(i)
1
n
2
o
6
p
2
(ii)
(
n
2
o
6
p
2
)
2
(iii)
n
o
p
24
(iv)
n
o
3
p
(v)
n
o
p
10
Question
12
12.
Simplify
3
√
64
+
3
√
1000
3
√
729
−
3
√
8
=
(i)
16
7
(ii)
2
(iii)
12
7
(iv)
14
9
(v)
14
5
Question
13
13.
[
(
3/2
)
]
3/2
(
9
7
)
=
(i)
(
5/2
)
(
9
7
)
(ii)
(
9/4
)
(
9
7
)
(iii)
(
9/4
)
(
11
7
)
(iv)
1
(v)
(
13/6
)
(
9
7
)
Question
14
14.
(
n
11
n
2
)
4
=
(i)
n
2
(ii)
4
n
36
(iii)
n
36
(iv)
n
13
(v)
n
11
Question
15
15.
[
2
]
5
(
-9
2
)
=
(i)
10
(
-7
2
)
(ii)
11
(
-9
2
)
(iii)
9
(
-9
2
)
(iv)
10
(
-9
2
)
(v)
10
(
-11
2
)
Question
16
16.
The value of
(-5)
2
−
(-5)
2
(i)
-1
(ii)
-3
(iii)
2
(iv)
0
Question
17
17.
0
0
=
(i)
0
(ii)
∞
(iii)
undefined
(iv)
-1
(v)
1
Question
18
18.
Simplify
(-5)
-2
✕
3
-3
✕
4
-2
✕
3
-3
(-4)
-3
✕
4
-3
✕
(-5)
-3
(i)
2
13
✕
5
3
2
4
✕
3
6
✕
5
2
(ii)
2
12
✕
5
3
2
4
✕
1
✕
5
2
(iii)
2
11
✕
5
3
2
4
✕
3
6
✕
5
2
(iv)
2
12
✕
5
3
2
4
✕
3
6
✕
5
2
(v)
2
12
✕
5
3
2
4
✕
5
6
✕
5
2
Question
19
19.
The value of
(-3)
3
÷
5
3
(i)
2
(
-27
125
)
(ii)
(
-29
125
)
(iii)
(
-27
125
)
(iv)
(
-1
5
)
(v)
(
-9
41
)
Question
20
20.
[
(-6)
5
]
-5
=
(i)
(-4)
-25
(ii)
(-6)
-24
(iii)
(-8)
-25
(iv)
(-6)
-26
(v)
(-6)
-25
Question
21
21.
Expand the following base power
5
(
5
2
)
(i)
16807
32
(ii)
243
32
(iii)
3125
32
(iv)
625
16
(v)
15625
64
Question
22
22.
Evaluate
(
j
1
2
+
k
1
2
)
(
j
1
2
−
k
1
2
)
=
(i)
(
j
+
k
)
(ii)
(
j
−
k
)
(iii)
0
(iv)
(
j
+
k
)
2
(v)
1
Question
23
23.
(
x
(-2)
.
y
(-2)
)
-3
=
(i)
x
6
.
y
8
(ii)
x
.
y
(iii)
x
6
.
y
6
(iv)
x
(-5)
.
y
(-5)
(v)
x
8
.
y
6
Question
24
24.
(
3
p
2
2
q
6
)
-2
=
(i)
4
q
12
9
p
4
(ii)
9
p
(-4)
4
q
(-12)
(iii)
4
p
(-4)
9
q
6
(iv)
9
4
q
4
(v)
4
9
q
4
Question
25
25.
The value of
-2
(
2
3
)
✕
-2
(
1
2
)
(i)
9
(ii)
6
(iii)
12
(iv)
8
(v)
9
2
Assignment Key
1) (ii)
2) (v)
3) (i)
4) (iii)
5) (i)
6) (iii)
7) (ii)
8) (v)
9) (iv)
10) (i)
11) (iv)
12) (ii)
13) (ii)
14) (iii)
15) (iv)
16) (iv)
17) (iii)
18) (iv)
19) (iii)
20) (v)
21) (iii)
22) (ii)
23) (iii)
24) (i)
25) (i)
