EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Exponents and Powers
Grade : CBSE Grade VIII
License : Non Commercial Use
Question
1
1.
The value of
-3
(
3
2
)
✕
-2
(
5
3
)
(i)
8
73
(ii)
8
75
(iii)
2
15
(iv)
2
25
(v)
2
(
8
75
)
Question
2
2.
(
9
8
✕
8
5
)
6
=
(i)
6
(
9
8
)
✕
6
(
6
5
)
(ii)
6
(
9
8
)
✕
7
(
8
5
)
(iii)
6
(
9
8
)
✕
6
(
8
5
)
(iv)
6
(
9
8
)
✕
5
(
8
5
)
(v)
6
(
9
8
)
✕
2
6
Question
3
3.
Simplify the expression
2
(
7
6
)
✕
2
(
5
2
)
(i)
2
11
12
(ii)
3
(
35
12
)
(iii)
2
(
11
4
)
(iv)
2
(
37
12
)
(v)
2
(
35
12
)
Question
4
4.
Write the given number in usual form
2.510304
✕
10
-5
(i)
0.0000002510304
(ii)
0.00002510304
(iii)
0.002510304
(iv)
0.000002510304
(v)
0.0002510304
Question
5
5.
0
0
=
(i)
0
(ii)
-1
(iii)
1
(iv)
∞
(v)
undefined
Question
6
6.
The value of
2
(
-2
3
)
÷
3
(
2
3
)
(i)
3
2
(ii)
5
2
(iii)
2
(
3
2
)
(iv)
1
2
(v)
3
Question
7
7.
Simplify
5
2
✕
(-3)
2
✕
(-5)
-2
✕
(-2)
-2
5
2
✕
(-2)
2
✕
(-5)
2
✕
5
-2
(i)
2
(
3
20
)
(ii)
2
(
1
4
)
(iii)
3
(
3
20
)
(iv)
2
(
1
20
)
(v)
3
20
Question
8
8.
[
-4
]
-2
(
7
6
)
=
(i)
8
(
7
6
)
(ii)
9
(
7
6
)
(iii)
8
(
3
2
)
(iv)
7
(
7
6
)
(v)
8
(
5
6
)
Question
9
9.
The value of
(-2)
-2
−
(-3)
-3
(i)
29
108
(ii)
2
(
31
108
)
(iii)
31
106
(iv)
11
36
(v)
31
108
Question
10
10.
Represent the given small number in scientific form
0.01967558
(i)
1.967558
✕
10
-2
(ii)
1.967558
✕
10
-3
(iii)
1.967558
✕
10
-1
(iv)
1.967558
✕
10
-4
(v)
1.967558
Question
11
11.
Which of the following statements are true?
a)
(
x
m
)
n
=
(
x
n
)
m
b)
a
0
=
1
(
a
≠
0)
c)
a
m
.
a
n
=
a
m
n
d)
a
.
x
m
=
a
m
.
x
m
e)
(
x
m
)
n
=
x
(
m
+
n
)
f)
x
m
x
n
=
x
m
n
(i)
{c,a}
(ii)
{e,f,a}
(iii)
{c,b,a}
(iv)
{a,b}
(v)
{d,b}
Question
12
12.
-6
(
-5
6
)
=
(i)
6
(
-6
5
)
(ii)
6
(
-4
5
)
(iii)
7
(
-6
5
)
(iv)
6
(
-8
5
)
(v)
5
(
-6
5
)
Question
13
13.
Simplify the expression
(-8)
-6
✕
(-8)
-2
(i)
(-8)
-9
(ii)
(-8)
-8
(iii)
(-6)
-8
(iv)
(-10)
-8
(v)
(-8)
-7
Question
14
14.
(
(
-4
5
)
✕
8
3
)
-7/6
=
(i)
(
-7/6
)
(
-4
5
)
✕
(
-7/4
)
(
8
3
)
(ii)
(
-7/6
)
(
-4
5
)
✕
(
-7
6
)
2
(iii)
(
-7/6
)
(
-4
5
)
✕
(
-7/8
)
(
8
3
)
(iv)
(
-7/6
)
(
-4
5
)
✕
(
-7/6
)
(
8
3
)
(v)
(
-7/6
)
(
-4
5
)
✕
(
-7/6
)
(
10
3
)
Question
15
15.
Represent the given small number in scientific form
-0.0002538749
(i)
-2.538749
✕
10
-3
(ii)
-2.538749
✕
10
-4
(iii)
-2.538749
✕
10
-6
(iv)
-2.538749
✕
10
-5
(v)
-2.538749
✕
10
-2
Question
16
16.
Simplify
(
2
n
.
9
(
n
−
1
)
.
16
(
n
−
4
)
4
(
n
−
1
)
.
3
(
n
−
4
)
.
4
(
n
−
3
)
)
(i)
2
(
−
n
+
2
)
.
3
(
−
n
+
7
)
.
4
(
−
n
+
2
)
(ii)
2
(
n
+
1
)
.
3
(
−
n
+
7
)
.
4
(
−
n
+
2
)
(iii)
2
(
−
n
+
2
)
.
3
(
n
+
2
)
.
4
(
n
−
5
)
(iv)
2
1
.
3
3
.
4
(
−
1
)
Question
17
17.
(-2)
4
=
(i)
-4
(
-1
2
)
(ii)
-3
(
-1
2
)
(iii)
-4
(
-3
2
)
(iv)
-5
(
-1
2
)
(v)
-4
(
1
2
)
Question
18
18.
2
(
-9
2
)
9
(
-9
2
)
=
(i)
-7
(
-9
2
)
(ii)
-7
(
-11
2
)
(iii)
-8
(
-9
2
)
(iv)
-6
(
-9
2
)
(v)
-7
(
-7
2
)
Question
19
19.
Simplify the expression
4
(
-5
8
)
✕
(-3)
4
✕
4
(
-5
8
)
(i)
4
(
-75
64
)
(ii)
4
(
-77
64
)
(iii)
5
(
-75
64
)
(iv)
3
(
-75
64
)
(v)
4
(
-73
64
)
Question
20
20.
The value of
-3
(
-2
3
)
−
-2
(
-1
3
)
(i)
(
-33
2
)
(ii)
(
-97
8
)
(iii)
(
-101
8
)
(iv)
(
-99
8
)
(v)
2
(
-99
8
)
Question
21
21.
Find the reciprocal of
2
9
(i)
8
(
1
2
)
(ii)
9
(
1
2
)
(iii)
9
(
-1
2
)
(iv)
10
(
1
2
)
(v)
9
(
3
2
)
Question
22
22.
Expand the following base power
4
(
-1
4
)
(i)
81
256
(ii)
(
-1
1024
)
(iii)
(
-1
64
)
(iv)
1
256
Question
23
23.
2
2
2
-9
=
(i)
2
10
(ii)
2
11
(iii)
(-1)
11
(iv)
2
12
(v)
5
11
Question
24
24.
The value of
5
-3
+
(-4)
-2
(i)
2
(
141
2000
)
(ii)
139
2000
(iii)
141
2000
(iv)
143
2000
(v)
47
666
Question
25
25.
Simplify
5
-3
✕
(-3)
-3
✕
(-2)
-2
✕
3
-3
4
-3
✕
4
-2
✕
3
-3
(i)
-1
✕
2
10
✕
3
3
2
2
✕
1
✕
5
3
(ii)
-1
✕
2
11
✕
3
3
2
2
✕
3
6
✕
5
3
(iii)
-1
✕
2
10
✕
3
2
2
2
✕
3
6
✕
5
3
(iv)
-1
✕
2
10
✕
3
3
4
2
✕
3
6
✕
5
3
(v)
-1
✕
2
10
✕
3
3
2
2
✕
3
6
✕
5
3
Assignment Key
1) (ii)
2) (iii)
3) (v)
4) (ii)
5) (v)
6) (i)
7) (i)
8) (i)
9) (v)
10) (i)
11) (iv)
12) (i)
13) (ii)
14) (iv)
15) (ii)
16) (iii)
17) (i)
18) (i)
19) (i)
20) (iv)
21) (ii)
22) (iv)
23) (ii)
24) (iii)
25) (v)
