EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Exponents
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
Find the exponential notation of
(
-5
4
)
✕
(
-5
4
)
✕
(
-5
4
)
✕
(
-5
4
)
(i)
4
(
-3
4
)
(ii)
5
(
-5
4
)
(iii)
4
(
-5
4
)
(iv)
3
(
-5
4
)
(v)
4
(
-7
4
)
Question
2
2.
(
m
23
m
)
3
=
(i)
m
69
m
(ii)
3
m
69
m
(iii)
m
23
m
(iv)
m
(
23
m
+
3
)
Question
3
3.
(
c
3
+
d
3
)
0
=
(i)
0
(ii)
3
(iii)
c
3
+
d
3
(iv)
(-1)
(v)
1
Question
4
4.
Simplify the expression
-5
(
-5
6
)
✕
-6
(
-5
6
)
✕
-2
(
-5
6
)
(i)
-13
(
-7
6
)
(ii)
-12
(
-5
6
)
(iii)
-13
(
-5
6
)
(iv)
-13
(
-1
2
)
(v)
-14
(
-5
6
)
Question
5
5.
(
p
(
−
3
r
+
16
)
p
(
2
r
−
5
)
)
=
(i)
p
(
−
4
r
2
−
21
r
+
68
)
(ii)
p
(
3
r
+
3
)
(iii)
p
(
−
5
r
+
22
)
(iv)
p
(
−
r
+
11
)
(v)
p
(
−
5
r
+
21
)
Question
6
6.
[
-4
]
-2
(
-4
3
)
=
(i)
(-2)
8
(ii)
9
(
-4
3
)
(iii)
8
(
-2
3
)
(iv)
8
(
-4
3
)
(v)
7
(
-4
3
)
Question
7
7.
2
6
=
(i)
-5
(
1
2
)
(ii)
-6
(
1
2
)
(iii)
-6
(
3
2
)
(iv)
-6
(
-1
2
)
(v)
-7
(
1
2
)
Question
8
8.
Simplify the expression
2
-5
✕
2
-9
(i)
2
-15
(ii)
2
-13
(iii)
2
-17
(iv)
2
-14
(v)
5
-14
Question
9
9.
Simplify the expression
7
(
7
4
)
✕
3
(
7
4
)
✕
5
(
7
4
)
(i)
14
(
7
4
)
(ii)
15
(
5
4
)
(iii)
15
(
7
4
)
(iv)
16
(
7
4
)
(v)
15
(
9
4
)
Question
10
10.
(
2
c
.
d
(-1)
)
-4
=
(i)
d
4
16
c
4
(ii)
c
4
16
d
(-4)
(iii)
2
d
4
c
(-4)
(iv)
−
8
d
4
−
4
c
(-4)
(v)
d
4
.
16
c
(-4)
Question
11
11.
i
4
j
3
k
4
=
(i)
i
✕
i
✕
i
✕
i
✕
j
✕
j
✕
j
✕
k
✕
k
✕
k
✕
k
(ii)
-2
✕
i
✕
i
✕
i
✕
i
✕
j
✕
j
✕
j
✕
k
✕
k
✕
k
✕
k
(iii)
4
✕
i
✕
i
✕
i
✕
i
✕
j
✕
j
✕
j
✕
k
✕
k
✕
k
✕
k
(iv)
i
✕
i
✕
i
✕
i
✕
i
✕
j
✕
j
✕
j
✕
k
✕
k
✕
k
✕
k
(v)
i
✕
i
✕
i
✕
j
✕
j
✕
j
✕
k
✕
k
✕
k
✕
k
Question
12
12.
If
3
a
=
243
, find
6
a
(i)
7775
(ii)
7777
(iii)
7776
(iv)
7779
(v)
7773
Question
13
13.
Find the prime factorization of
-32
(i)
-1
✕
2
2
(ii)
(-1)
2
✕
2
5
(iii)
-1
✕
2
5
(iv)
2
✕
2
5
(v)
-1
✕
2
4
Question
14
14.
Expand the following base power
-2
(
-4
5
)
(i)
(
-5
4
)
(ii)
25
36
(iii)
(
-125
64
)
(iv)
25
4
(v)
25
16
Question
15
15.
3
6
=
(i)
-5
(
1
3
)
(ii)
-6
(
1
3
)
(iii)
-6
(
-1
3
)
(iv)
1
(v)
-7
(
1
3
)
Question
16
16.
Simplify the expression
-9
(
-5
3
)
✕
-9
(
-9
2
)
✕
-9
(
-7
9
)
(i)
-9
(
-11
2
)
(ii)
-8
(
-35
6
)
(iii)
-9
(
-35
6
)
(iv)
-9
(
-37
6
)
(v)
-10
(
-35
6
)
Question
17
17.
-1
3
=
(i)
0
(ii)
undefined
(iii)
-1
(iv)
∞
(v)
1
Question
18
18.
5
0
=
(i)
undefined
(ii)
1
(iii)
-1
(iv)
0
(v)
∞
Question
19
19.
Simplify the expression
-3
(
8
7
)
✕
-3
(
9
2
)
✕
-3
(
8
3
)
(i)
-2
(
96
7
)
(ii)
-3
(
96
7
)
(iii)
-3
(
94
7
)
(iv)
14
-3
(v)
-4
(
96
7
)
Question
20
20.
Simplify the expression
5
(
7
3
)
✕
5
(
7
3
)
(i)
10
(
5
3
)
(ii)
9
(
7
3
)
(iii)
11
(
7
3
)
(iv)
3
10
(v)
10
(
7
3
)
Question
21
21.
[
-5
(
2
5
)
✕
-5
(
8
3
)
]
÷
[
5
(
5
2
)
✕
5
(
3
8
)
]
=
(i)
2
5
(ii)
(-1)
(iii)
8
3
(iv)
0
(v)
1
Question
22
22.
Expand the following base power
4
4
(i)
256
(ii)
1296
(iii)
1024
(iv)
16
(v)
64
Question
23
23.
[
(
-2
3
)
]
-2
7
=
(i)
(
4
3
)
7
(ii)
7
2
(iii)
(
4
3
)
9
(iv)
(
4
3
)
5
(v)
(
6
5
)
7
Question
24
24.
The
exponent
in the term
9
(
7
2
)
is
(i)
9
(ii)
7
(iii)
7
2
(iv)
(
-7
2
)
(v)
-9
Question
25
25.
Find the exponential notation of
7
✕
7
✕
7
✕
7
✕
7
✕
7
✕
7
✕
7
(i)
7
8
(ii)
5
8
(iii)
7
9
(iv)
9
8
(v)
7
7
Assignment Key
1) (iii)
2) (i)
3) (v)
4) (iii)
5) (v)
6) (iv)
7) (ii)
8) (iv)
9) (iii)
10) (i)
11) (i)
12) (iii)
13) (iii)
14) (v)
15) (ii)
16) (iii)
17) (iii)
18) (ii)
19) (ii)
20) (v)
21) (v)
22) (i)
23) (i)
24) (i)
25) (i)
