EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Indices
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
Simplify
4
2
✕
(-5)
2
✕
2
-2
3
3
✕
(-2)
2
✕
5
-3
(i)
5
6
3
3
(ii)
5
5
5
3
(iii)
5
4
3
3
(iv)
5
5
1
(v)
5
5
3
3
Question
2
2.
Simplify
(
y
(
d
+
e
)
)
(
d
−
e
)
(
y
(
e
+
f
)
)
(
e
−
f
)
(
y
(
f
+
d
)
)
(
f
−
d
)
(i)
-1
(ii)
0
(iii)
y
(iv)
y
(
d
+
e
+
f
)
(v)
1
Question
3
3.
8
0
=
(i)
-1
(ii)
1
(iii)
0
(iv)
undefined
(v)
∞
Question
4
4.
If
3
k
=
9
, find
3
(
k
+
3
)
(i)
246
(ii)
241
(iii)
243
(iv)
244
(v)
242
Question
5
5.
Simplify the expression
6
6
✕
6
6
(i)
9
12
(ii)
6
12
(iii)
6
11
(iv)
6
13
(v)
4
12
Question
6
6.
Expand the following base power
(-5)
4
(i)
-3125
(ii)
4096
(iii)
81
(iv)
625
(v)
-125
Question
7
7.
Find the
6th
root
of
4096
(i)
4
(ii)
6
(iii)
5
(iv)
2
(v)
3
Question
8
8.
Expand the following base power
3
5
(i)
81
(ii)
27
(iii)
243
(iv)
3125
(v)
729
Question
9
9.
Simplify
(
4
d
.
25
(
d
−
3
)
.
36
(
d
−
5
)
16
(
d
−
3
)
.
5
(
d
−
5
)
.
6
(
d
−
5
)
)
(i)
4
(
−
d
+
6
)
.
5
(
−
d
+
7
)
.
6
(
−
d
+
5
)
(ii)
4
(
−
d
+
6
)
.
5
(
d
−
1
)
.
6
(
d
−
5
)
(iii)
4
(
d
+
3
)
.
5
(
−
d
+
7
)
.
6
(
−
d
+
5
)
(iv)
4
3
.
5
2
.
6
0
Question
10
10.
(
i
5
j
5
)
6
=
(i)
i
30
j
30
(ii)
6
i
5
j
5
(iii)
i
11
j
11
(iv)
6
i
11
j
11
(v)
6
i
30
j
30
Question
11
11.
Which of the following statements are true?
a)
x
m
x
n
=
x
m
n
b)
a
m
.
a
n
=
a
m
n
c)
a
0
=
1
(
a
≠
0)
d)
a
.
x
m
=
a
m
.
x
m
e)
(
x
m
)
n
=
x
(
m
+
n
)
f)
(
x
m
)
n
=
(
x
n
)
m
(i)
{c,f}
(ii)
{a,f,c}
(iii)
{b,f}
(iv)
{d,e,c}
(v)
{a,c}
Question
12
12.
The value of
-2
(
-1
3
)
+
-2
(
-2
3
)
(i)
47
4
(ii)
45
2
(iii)
2
(
45
4
)
(iv)
43
4
(v)
45
4
Question
13
13.
-5
0
=
(i)
1
(ii)
-1
(iii)
0
(iv)
undefined
(v)
∞
Question
14
14.
[
(
6
2
)
3
✕
(
6
3
)
4
]
÷
6
18
(i)
4
(ii)
2
(iii)
1
(iv)
6
(v)
0
Question
15
15.
(
i
2
)
6
=
(i)
i
12
(ii)
i
2
(iii)
6
i
2
(iv)
i
8
(v)
i
4
Question
16
16.
If
15625
(
j
+
2
)
=
3125
2
j
, find
j
(i)
4
(ii)
3
(iii)
6
(iv)
1
(v)
2
Question
17
17.
-2
(
1
2
)
+
-3
(
1
6
)
+
-3
(
1
5
)
=
(i)
347
(ii)
342
(iii)
346
(iv)
345
(v)
344
Question
18
18.
3
g
(-3)
5
k
(-9)
=
(i)
5
k
9
3
g
3
(ii)
3
g
9
5
k
3
(iii)
3
k
9
5
g
3
(iv)
3
k
(-9)
5
g
(-3)
(v)
5
k
(-9)
3
g
(-3)
Question
19
19.
Find the
5th
root
of
(
-1
1024
)
(i)
(
-3
4
)
(ii)
1
4
(iii)
(
-1
2
)
(iv)
(
-1
6
)
(v)
(
-1
4
)
Question
20
20.
0
0
=
(i)
undefined
(ii)
∞
(iii)
0
(iv)
1
(v)
-1
Question
21
21.
-1
4
=
(i)
-1
(ii)
∞
(iii)
1
(iv)
0
(v)
undefined
Question
22
22.
(
k
1
3
+
l
1
3
+
m
1
3
)
(
k
2
3
+
l
2
3
+
m
2
3
−
k
1
3
l
1
3
−
l
1
3
m
1
3
−
m
1
3
k
1
3
)
=
(i)
(
k
−
l
−
m
)
(ii)
(
k
+
l
+
m
)
2
(iii)
(
k
−
l
−
m
)
2
(iv)
0
(v)
k
+
l
+
m
−
3
m
1
3
k
1
3
l
1
3
Question
23
23.
Find the value of
-2
(
3
2
)
(i)
4
11
(ii)
4
9
(iii)
4
7
(iv)
2
9
(v)
2
3
Question
24
24.
The value of
2
(
1
2
)
−
3
(
-1
2
)
(i)
1
8
(ii)
3
8
(iii)
2
(
3
8
)
(iv)
5
8
(v)
1
2
Question
25
25.
3
√
0.0080
=
(i)
0.2
(ii)
0.1
(iii)
0.4
(iv)
0.3
(v)
0.02
Assignment Key
1) (v)
2) (v)
3) (ii)
4) (iii)
5) (ii)
6) (iv)
7) (i)
8) (iii)
9) (ii)
10) (i)
11) (i)
12) (v)
13) (i)
14) (iii)
15) (i)
16) (ii)
17) (iv)
18) (iii)
19) (v)
20) (i)
21) (iii)
22) (v)
23) (ii)
24) (ii)
25) (i)
