EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Exponents and Powers
Grade : CBSE Grade VIII
License : Non Commercial Use
Question
1
1.
Simplify the expression
6
-2
✕
6
-5
✕
6
-6
(i)
6
-13
(ii)
9
-13
(iii)
6
-14
(iv)
6
-12
(v)
4
-13
Question
2
2.
(
3
2
✕
7
3
✕
(
-9
2
)
)
-7
=
(i)
-7
(
3
2
)
✕
-6
(
7
3
)
✕
-6
(
-9
2
)
(ii)
-7
(
3
2
)
✕
-7
(
7
3
)
✕
-7
(
-9
2
)
(iii)
-7
(
3
2
)
✕
-8
(
7
3
)
✕
-8
(
-9
2
)
(iv)
-7
(
3
2
)
✕
3
-7
✕
-7
(
-7
2
)
(v)
-7
(
3
2
)
✕
-7
(
5
3
)
✕
-7
(
-11
2
)
Question
3
3.
-7
0
=
(i)
undefined
(ii)
-1
(iii)
1
(iv)
0
(v)
∞
Question
4
4.
-2
(
-7
4
)
=
(i)
(-7)
-2
4
-2
(ii)
(-7)
-2
2
-2
(iii)
(-7)
-2
6
-2
(iv)
(-7)
-1
4
-2
(v)
(-7)
-3
4
-2
Question
5
5.
The value of
-2
(
4
3
)
−
-2
(
-4
3
)
(i)
0
(ii)
-1
(iii)
-3
(iv)
3
Question
6
6.
Find the reciprocal of
3
(
-2
6
)
(i)
(-2)
3
(ii)
(-4)
3
(iii)
4
(
-6
2
)
(iv)
2
(
-6
2
)
(v)
3
(
-6
2
)
Question
7
7.
7
0
=
(i)
0
(ii)
∞
(iii)
undefined
(iv)
-1
(v)
1
Question
8
8.
Write the given number in usual form
7.584524
✕
10
12
(i)
75845240000
(ii)
75845240000000
(iii)
758452400000000
(iv)
758452400000
(v)
7584524000000
Question
9
9.
Simplify the expression
6
9
✕
2
9
✕
6
9
(i)
72
8
(ii)
72
10
(iii)
69
9
(iv)
72
9
(v)
74
9
Question
10
10.
Simplify the expression
-9
(
6
5
)
✕
-9
(
7
5
)
(i)
-9
(
8
5
)
(ii)
-9
(
44
25
)
(iii)
-9
(
42
25
)
(iv)
-10
(
42
25
)
(v)
-8
(
42
25
)
Question
11
11.
(
6
2
)
6
✕
(
8
2
)
5
✕
(
11
5
)
4
(
6
(-5)
)
5
✕
(
8
(-6)
)
3
✕
(
11
2
)
-2
=
(i)
6
37
✕
8
29
✕
11
24
(ii)
6
37
✕
8
28
✕
11
25
(iii)
6
37
✕
8
28
✕
11
24
(iv)
6
38
✕
8
28
✕
11
24
Question
12
12.
(
-6
✕
-2
)
9
=
(i)
(-6)
9
✕
(-2)
9
(ii)
(-6)
9
✕
1
(iii)
(-6)
9
✕
(-5)
9
(iv)
(-6)
9
✕
(-2)
10
(v)
(-6)
9
✕
(-2)
8
Question
13
13.
The value of
(-2)
-2
−
4
-2
(i)
3
16
(ii)
3
14
(iii)
1
16
(iv)
5
16
(v)
2
(
3
16
)
Question
14
14.
(
(
-3
5
)
✕
(
-3
8
)
)
-2/3
=
(i)
(
-2/3
)
(
-3
5
)
✕
(
-2/3
)
(
-1
8
)
(ii)
(
-2/3
)
(
-3
5
)
✕
-2
(
-3
8
)
(iii)
(
-2/3
)
(
-3
5
)
✕
(
-2/3
)
(
-3
8
)
(iv)
(
-2/3
)
(
-3
5
)
✕
(
-2/3
)
(
-5
8
)
(v)
(
-2/3
)
(
-3
5
)
✕
(
-2/5
)
(
-3
8
)
Question
15
15.
[
7
5
]
-5/2
=
(i)
(
-25
2
)
10
(ii)
(
-25
2
)
7
(iii)
(
-25
2
)
4
(iv)
(
-49
4
)
7
(v)
7
-13
Question
16
16.
Simplify
(-2)
-2
✕
2
-2
✕
(-3)
-2
✕
(-2)
-2
5
2
✕
(-5)
2
✕
(-3)
-2
✕
(-5)
-2
(i)
37
-2
(ii)
40
-2
(iii)
43
-2
(iv)
40
-1
(v)
40
-3
Question
17
17.
5
2
=
(i)
-2
(
1
5
)
(ii)
-2
(
3
5
)
(iii)
-2
(
-1
5
)
(iv)
-1
(
1
5
)
(v)
-3
(
1
5
)
Question
18
18.
Represent the given large number in standard form
120363500000
✕
10
3
(i)
1.203635
✕
10
14
(ii)
1.203635
✕
10
16
(iii)
1.203635
✕
10
12
(iv)
1.203635
✕
10
13
(v)
1.203635
✕
10
15
Question
19
19.
Simplify the expression
-2
(
-9
7
)
✕
-3
(
-9
7
)
✕
-2
(
-9
7
)
(i)
-7
(
-11
7
)
(ii)
-6
(
-9
7
)
(iii)
(-1)
-7
(iv)
-8
(
-9
7
)
(v)
-7
(
-9
7
)
Question
20
20.
Simplify the expression
-8
(
8
7
)
✕
-8
(
8
7
)
✕
-8
(
8
7
)
(i)
-24
(
8
7
)
(ii)
-24
(
6
7
)
(iii)
-24
(
10
7
)
(iv)
-25
(
8
7
)
(v)
-23
(
8
7
)
Question
21
21.
Expand the following base power
(-3)
-5
(i)
1
81
(ii)
1
729
(iii)
(
-1
27
)
(iv)
(
-1
7776
)
(v)
(
-1
243
)
Question
22
22.
-9
(
9
5
)
4
(
9
5
)
=
(i)
-13
(
11
5
)
(ii)
-12
(
9
5
)
(iii)
-13
(
9
5
)
(iv)
-13
(
7
5
)
(v)
-14
(
9
5
)
Question
23
23.
Simplify the expression
2
4
✕
2
4
(i)
4
8
(ii)
2
7
(iii)
2
5
(iv)
2
9
(v)
2
8
Question
24
24.
Represent the given small number in scientific form
0.0005582525
(i)
5.582525
✕
10
-2
(ii)
5.582525
✕
10
-4
(iii)
5.582525
✕
10
-6
(iv)
5.582525
✕
10
-5
(v)
5.582525
✕
10
-3
Question
25
25.
Simplify the expression
3
2
✕
3
3
(i)
3
3
(ii)
6
5
(iii)
3
5
(iv)
3
4
(v)
3
6
Assignment Key
1) (i)
2) (ii)
3) (iii)
4) (i)
5) (i)
6) (v)
7) (v)
8) (v)
9) (iv)
10) (iii)
11) (iii)
12) (i)
13) (i)
14) (iii)
15) (ii)
16) (ii)
17) (i)
18) (i)
19) (v)
20) (i)
21) (v)
22) (iii)
23) (v)
24) (ii)
25) (iii)