EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Exponents
Grade : SSC Grade VII
License : Non Commercial Use
Question
1
1.
Simplify the expression
8
(
9
2
)
✕
8
(
3
2
)
✕
8
(
9
2
)
(i)
8
(
245
8
)
(ii)
8
(
243
8
)
(iii)
7
(
243
8
)
(iv)
9
(
243
8
)
(v)
8
(
241
8
)
Question
2
2.
Simplify
(
u
(
m
+
n
)
)
(
m
−
n
)
(
u
(
n
+
o
)
)
(
n
−
o
)
(
u
(
o
+
m
)
)
(
o
−
m
)
(i)
1
(ii)
0
(iii)
-1
(iv)
u
(v)
u
(
m
+
n
+
o
)
Question
3
3.
Simplify the expression
(
-4/5
)
(
7
2
)
✕
-7
(
7
2
)
✕
(
-4/3
)
(
7
2
)
(i)
(
-119/13
)
(
7
2
)
(ii)
(
-137/15
)
(
9
2
)
(iii)
(
-137/15
)
(
7
2
)
(iv)
(
-155/17
)
(
7
2
)
(v)
(
-137/15
)
(
5
2
)
Question
4
4.
Simplify the expression
(-5)
-9
✕
(-7)
-9
✕
(-9)
-9
(i)
(-315)
-9
(ii)
(-315)
-8
(iii)
(-315)
-10
(iv)
(-317)
-9
(v)
(-312)
-9
Question
5
5.
-5
0
=
(i)
undefined
(ii)
∞
(iii)
0
(iv)
-1
(v)
1
Question
6
6.
Simplify the expression
(-3)
4
✕
(-3)
4
✕
(-3)
4
(i)
(-3)
11
(ii)
(-3)
14
(iii)
(-5)
12
(iv)
(-3)
12
(v)
(-3)
13
Question
7
7.
Find the prime factorization of
2187
(i)
1
(ii)
5
7
(iii)
3
6
(iv)
3
8
(v)
3
7
Question
8
8.
-1
3
=
(i)
undefined
(ii)
0
(iii)
∞
(iv)
-1
(v)
1
Question
9
9.
(
-4
✕
-2
✕
2
)
-5/3
=
(i)
(
-5
3
)
(-4)
✕
(-2)
-5
✕
2
-5
(ii)
(
-5
3
)
(-4)
✕
(
-5
3
)
(-4)
✕
(
-7
3
)
2
(iii)
(
-5
3
)
(-4)
✕
(-2)
-1
✕
(
-5
3
)
5
(iv)
(
-5
3
)
(-4)
✕
(-2)
-1
✕
2
-1
(v)
(
-5
3
)
(-4)
✕
(
-5
3
)
(-2)
✕
(
-5
3
)
2
Question
10
10.
Simplify
3
2
2
2
(i)
3
2
(ii)
2
(
1
2
)
(iii)
3
(
3
2
)
(iv)
2
(
5
2
)
(v)
2
(
3
2
)
Question
11
11.
(
2
✕
-6
)
9/5
=
(i)
(
9
5
)
2
✕
(
9
5
)
(-6)
(ii)
(
9
5
)
2
✕
(
9
5
)
(-9)
(iii)
(
9
5
)
2
✕
(
9
7
)
(-6)
(iv)
(
9
5
)
2
✕
(
9
5
)
(-3)
(v)
(
9
5
)
2
✕
(-6)
3
Question
12
12.
Find the exponential notation of
(
-2
45
)
(i)
-1
✕
2
3
2
✕
2
(ii)
-2
✕
2
3
2
✕
5
(iii)
(-1)
2
✕
2
3
2
✕
5
(iv)
-1
✕
2
6
2
✕
5
(v)
-1
✕
2
3
2
✕
5
Question
13
13.
The
exponent
in the term
3
(
7
6
)
is
(i)
(
-7
6
)
(ii)
3
(iii)
1
(iv)
7
6
(v)
-3
Question
14
14.
The value of
2
3
✕
(-5)
3
(i)
-1000
(ii)
-997
(iii)
-1002
(iv)
-1001
(v)
(-1000)
2
Question
15
15.
Simplify the expression
(
5/2
)
(
5
2
)
✕
(
5/2
)
(
5
2
)
(i)
5
(
7
2
)
(ii)
4
(
5
2
)
(iii)
5
(
5
2
)
(iv)
5
(
3
2
)
(v)
6
(
5
2
)
Question
16
16.
[
(-4)
2
]
-4/5
=
(i)
(
-8
5
)
(-4)
(ii)
(
-10
7
)
(-4)
(iii)
(
-8
5
)
(-7)
(iv)
(-4)
-2
(v)
(
-8
5
)
(-1)
Question
17
17.
[
(-2)
3
]
5/2
=
(i)
(-2)
8
(ii)
1
(iii)
(
29
4
)
(-2)
(iv)
(
15
2
)
(-2)
(v)
(
15
2
)
(-5)
Question
18
18.
Represent the given small number in standard form
-0.9840459
✕
10
-9
(i)
-9.840459
✕
10
-9
(ii)
-9.840459
✕
10
-12
(iii)
-9.840459
✕
10
-8
(iv)
-9.840459
✕
10
-11
(v)
-9.840459
✕
10
-10
Question
19
19.
Find the value of
(-5)
-3
(i)
(
-3
125
)
(ii)
1
125
(iii)
(
-1
123
)
(iv)
(
-1
127
)
(v)
(
-1
125
)
Question
20
20.
Simplify the expression
(-7)
-2
✕
(-7)
-2
✕
(-7)
-2
(i)
(-343)
-2
(ii)
(-343)
-3
(iii)
(-343)
-1
(iv)
(-341)
-2
(v)
(-346)
-2
Question
21
21.
The
base
in the term
9
(
8
7
)
is
(i)
8
7
(ii)
9
(iii)
-9
(iv)
6
7
(v)
(
-8
7
)
Question
22
22.
Expand the following base power
-5
(
-1
3
)
(i)
729
(ii)
-243
(iii)
81
(iv)
-1
(v)
243
Question
23
23.
The expanded form of
(
1
2
u
v
)
3
is
(i)
1
2
u
v
✕
1
2
u
v
(ii)
1
2
u
v
✕
1
2
u
v
✕
1
2
u
v
✕
1
2
u
v
✕
1
2
u
v
(iii)
1
2
u
v
(iv)
1
2
u
v
✕
1
2
u
v
✕
1
2
u
v
✕
1
2
u
v
(v)
1
2
u
v
✕
1
2
u
v
✕
1
2
u
v
Question
24
24.
-1
4
=
(i)
0
(ii)
1
(iii)
∞
(iv)
undefined
(v)
-1
Question
25
25.
The value of
2
-3
✕
5
-3
(i)
1000
-2
(ii)
1002
-1
(iii)
1000
-1
(iv)
997
-1
(v)
1001
-1
Assignment Key
1) (ii)
2) (i)
3) (iii)
4) (i)
5) (v)
6) (iv)
7) (v)
8) (iv)
9) (v)
10) (v)
11) (i)
12) (v)
13) (ii)
14) (i)
15) (iii)
16) (i)
17) (iv)
18) (v)
19) (v)
20) (i)
21) (i)
22) (ii)
23) (v)
24) (ii)
25) (iii)