EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Exponents and Powers
Grade : SSC Grade VIII
License : Non Commercial Use
Question
1
1.
Represent the given small number in standard form
-8.258618
✕
10
-8
(i)
-8.258618
✕
10
-8
(ii)
-8.258618
✕
10
-6
(iii)
-8.258618
✕
10
-7
(iv)
-8.258618
✕
10
-9
(v)
-8.258618
✕
10
-10
Question
2
2.
9
(
-8
7
)
=
(i)
(-8)
9
10
9
(ii)
(-8)
9
5
9
(iii)
(-8)
8
7
9
(iv)
(-8)
9
7
9
(v)
(-8)
10
7
9
Question
3
3.
The value of
4
2
÷
4
3
(i)
5
-1
(ii)
4
-1
(iii)
6
-1
(iv)
1
(v)
4
-2
Question
4
4.
The value of
3
(
1
3
)
+
3
(
-5
2
)
(i)
(
-3365
216
)
(ii)
2
(
-3367
216
)
(iii)
(
-3367
214
)
(iv)
(
-3367
216
)
(v)
(
-1123
72
)
Question
5
5.
Simplify the expression
(-4)
-4
✕
-4
(
-9
2
)
✕
-4
(
-4
9
)
(i)
(-6)
-4
(ii)
(-8)
-4
(iii)
(-10)
-4
(iv)
(-8)
-3
(v)
(-8)
-5
Question
6
6.
-4
0
=
(i)
undefined
(ii)
0
(iii)
∞
(iv)
-1
(v)
1
Question
7
7.
3
√
8
27
=
(i)
2
5
(ii)
4
3
(iii)
2
3
(iv)
0
(v)
2
Question
8
8.
[
(-2)
-5
]
-2
=
(i)
(-2)
9
(ii)
(-4)
10
(iii)
(-2)
10
(iv)
(-2)
11
(v)
1
Question
9
9.
6
(
-4
3
)
=
(i)
-6
(
-3
4
)
(ii)
-6
(
-5
4
)
(iii)
-5
(
-3
4
)
(iv)
-7
(
-3
4
)
(v)
-6
(
-1
4
)
Question
10
10.
Find the exponential notation of
6
✕
6
✕
6
✕
6
✕
6
✕
6
✕
6
✕
6
(i)
6
8
(ii)
9
8
(iii)
3
8
(iv)
6
9
(v)
6
7
Question
11
11.
If
2
j
=
16
, find
j
(i)
6
(ii)
3
(iii)
4
(iv)
2
(v)
5
Question
12
12.
Represent the given large number in scientific form
381057900000
(i)
3.810579
✕
10
9
(ii)
3.810579
✕
10
12
(iii)
3.810579
✕
10
10
(iv)
3.810579
✕
10
13
(v)
3.810579
✕
10
11
Question
13
13.
Find the reciprocal of
4
(
-3
4
)
(i)
4
(
-4
3
)
(ii)
4
(
-2
3
)
(iii)
3
(
-4
3
)
(iv)
5
(
-4
3
)
(v)
(-2)
4
Question
14
14.
Find the value of
(-5)
-2
(i)
1
23
(ii)
(
-1
25
)
(iii)
3
25
(iv)
1
25
(v)
1
27
Question
15
15.
Expand the following base power
4
4
(i)
64
(ii)
1296
(iii)
1
(iv)
1024
(v)
256
Question
16
16.
Write the given number in usual form
3.698006
✕
10
8
(i)
36980060000
(ii)
3698006
(iii)
369800600
(iv)
3698006000
(v)
36980060
Question
17
17.
If
6
(
3
c
+
3
)
÷
1296
=
6
5
, find
c
(i)
5
(ii)
0
(iii)
3
(iv)
1
(v)
2
Question
18
18.
Simplify the expression
-3
(
9
8
)
✕
6
-3
✕
-3
(
5
3
)
(i)
-2
(
45
4
)
(ii)
-3
(
47
4
)
(iii)
-3
(
45
4
)
(iv)
-3
(
43
4
)
(v)
-4
(
45
4
)
Question
19
19.
Simplify
3
2
(-4)
-2
(i)
12
3
(ii)
10
2
(iii)
14
2
(iv)
12
2
(v)
12
Question
20
20.
3
√
0.1250
=
(i)
0.6
(ii)
0.4
(iii)
0.5
(iv)
0.7
(v)
0.05
Question
21
21.
Represent the given small number in scientific form
0.05748987
(i)
5.748987
✕
10
-2
(ii)
5.748987
✕
10
-1
(iii)
5.748987
(iv)
5.748987
✕
10
-3
(v)
5.748987
✕
10
-4
Question
22
22.
-1
2
=
(i)
undefined
(ii)
-1
(iii)
0
(iv)
1
(v)
∞
Question
23
23.
Simplify the expression
(
9/5
)
(
9
8
)
✕
(
9/5
)
(
9
5
)
✕
(
9/5
)
(
6
5
)
(i)
(
9/5
)
(
49
20
)
(ii)
(
9/5
)
(
243
100
)
(iii)
(
9/5
)
(
241
100
)
(iv)
(
9/7
)
(
243
100
)
(v)
3
(
243
100
)
Question
24
24.
Simplify the expression
(-9)
-9
✕
(-9)
-2
(i)
(-9)
-12
(ii)
(-7)
-11
(iii)
(-11)
-11
(iv)
(-9)
-10
(v)
(-9)
-11
Question
25
25.
Simplify
(-4)
-2
✕
5
-2
✕
5
-2
✕
4
-2
3
2
✕
(-2)
-2
✕
5
-2
✕
(-4)
-2
(i)
30
-2
(ii)
33
-2
(iii)
30
-3
(iv)
30
-1
(v)
28
-2
Assignment Key
1) (i)
2) (iv)
3) (ii)
4) (iv)
5) (ii)
6) (v)
7) (iii)
8) (iii)
9) (i)
10) (i)
11) (iii)
12) (v)
13) (i)
14) (iv)
15) (v)
16) (iii)
17) (v)
18) (iii)
19) (iv)
20) (iii)
21) (i)
22) (iv)
23) (ii)
24) (v)
25) (i)