EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Exponents
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
Find the square root of
b
6
c
4
d
4
=
(i)
b
3
c
2
d
2
(ii)
b
c
d
14
(iii)
b
c
d
96
(iv)
1
b
6
c
4
d
4
(v)
(
b
6
c
4
d
4
)
2
Question
2
2.
Simplify
3
2
✕
(-5)
-3
✕
(-4)
2
5
-3
✕
5
-3
✕
3
3
(i)
(-1)
2
✕
2
4
✕
5
3
3
(ii)
-1
✕
2
4
✕
5
3
1
(iii)
-1
✕
2
4
✕
5
3
3
(iv)
-1
✕
2
4
✕
5
3
5
(v)
-2
✕
2
4
✕
5
3
3
Question
3
3.
Expand the following base power
5
(
-5
4
)
(i)
(
-243
1024
)
(ii)
625
256
(iii)
(
-16807
1024
)
(iv)
(
-3125
1024
)
(v)
15625
4096
Question
4
4.
a
8
a
16
=
(i)
1
a
8
(ii)
1
a
24
(iii)
1
a
(-8)
(iv)
1
a
128
(v)
a
8
Question
5
5.
c
13
c
5
=
(i)
c
8
(ii)
c
65
(iii)
c
18
(iv)
13
c
8
(v)
5
c
8
Question
6
6.
Simplify the expression
3
(
8
7
)
✕
3
(
5
4
)
(i)
4
(
10
7
)
(ii)
2
(
10
7
)
(iii)
3
(
12
7
)
(iv)
3
(
10
7
)
(v)
3
(
8
7
)
Question
7
7.
The
exponent
in the term
(
9/2
)
(
8
5
)
is
(i)
9
2
(ii)
(
-8
5
)
(iii)
7
2
(iv)
(
-9
2
)
(v)
8
5
Question
8
8.
h
4
i
2
j
3
=
(i)
h
✕
h
✕
h
✕
h
✕
i
✕
i
✕
j
✕
j
✕
j
(ii)
-2
✕
h
✕
h
✕
h
✕
h
✕
i
✕
i
✕
j
✕
j
✕
j
(iii)
h
✕
h
✕
h
✕
i
✕
i
✕
j
✕
j
✕
j
(iv)
h
✕
h
✕
h
✕
h
✕
h
✕
i
✕
i
✕
j
✕
j
✕
j
(v)
3
✕
h
✕
h
✕
h
✕
h
✕
i
✕
i
✕
j
✕
j
✕
j
Question
9
9.
[
-4
]
-3
(
9
7
)
=
(i)
1
(ii)
11
(
9
7
)
(iii)
13
(
9
7
)
(iv)
12
(
9
7
)
(v)
12
(
11
7
)
Question
10
10.
Simplify the expression
7
-4
✕
3
-4
✕
3
-4
(i)
63
-5
(ii)
63
-4
(iii)
65
-4
(iv)
63
-3
(v)
60
-4
Question
11
11.
Simplify the expression
5
4
✕
7
4
✕
2
4
(i)
70
4
(ii)
73
4
(iii)
70
3
(iv)
70
5
(v)
67
4
Question
12
12.
7
9
7
-7
=
(i)
4
16
(ii)
7
16
(iii)
10
16
(iv)
7
17
(v)
7
15
Question
13
13.
Simplify the expression
(-9)
4
✕
(-9)
4
(i)
(-12)
8
(ii)
(-9)
8
(iii)
(-9)
7
(iv)
(-9)
9
(v)
(-6)
8
Question
14
14.
Simplify
5
-3
✕
4
-2
✕
2
-2
✕
3
-3
(-2)
-3
✕
(-5)
-2
✕
4
-3
(i)
-1
✕
2
9
✕
5
2
(-1)
6
✕
3
3
✕
5
3
(ii)
-1
✕
2
9
✕
5
2
5
6
✕
3
3
✕
5
3
(iii)
-1
✕
2
9
✕
5
3
2
6
✕
3
3
✕
5
3
(iv)
-1
✕
2
8
✕
5
2
2
6
✕
3
3
✕
5
3
(v)
-1
✕
2
9
✕
5
2
2
6
✕
3
3
✕
5
3
Question
15
15.
(-7)
5
=
(i)
-5
(
-3
7
)
(ii)
-5
(
1
7
)
(iii)
-5
(
-1
7
)
(iv)
-4
(
-1
7
)
(v)
-6
(
-1
7
)
Question
16
16.
Simplify
4
-2
✕
(-2)
2
✕
5
2
✕
4
2
(-2)
2
✕
3
2
✕
(-3)
2
✕
5
2
(i)
3
-4
(ii)
3
-5
(iii)
5
-4
(iv)
1
(v)
3
-3
Question
17
17.
(
3
✕
-9
✕
-4
)
-4
=
(i)
3
-4
✕
(-9)
-4
✕
(-4)
-4
(ii)
3
-4
✕
(-9)
-5
✕
(-4)
-5
(iii)
3
-4
✕
(-9)
-3
✕
(-4)
-3
(iv)
3
-4
✕
(-7)
-4
✕
(-2)
-4
(v)
3
-4
✕
(-12)
-4
✕
(-7)
-4
Question
18
18.
Simplify the expression
8
(
-3
5
)
✕
8
(
-2
7
)
(i)
7
(
6
35
)
(ii)
8
(
8
35
)
(iii)
8
(
6
35
)
(iv)
8
(
4
35
)
(v)
9
(
6
35
)
Question
19
19.
-1
5
=
(i)
undefined
(ii)
-1
(iii)
0
(iv)
∞
(v)
1
Question
20
20.
14
f
3
g
2
=
(i)
17
✕
f
✕
f
✕
f
✕
g
✕
g
(ii)
12
✕
f
✕
f
✕
f
✕
g
✕
g
(iii)
14
✕
f
✕
f
✕
f
✕
g
✕
g
(iv)
14
✕
f
✕
f
✕
f
✕
f
✕
g
✕
g
(v)
14
✕
f
✕
f
✕
g
✕
g
Question
21
21.
If
4
s
=
16
, find
4
(
2
s
+
2
)
(i)
4096
(ii)
4097
(iii)
4095
(iv)
4094
(v)
4099
Question
22
22.
Expand the following base power
4
(
3
4
)
(i)
1
256
(ii)
81
256
(iii)
625
256
(iv)
27
64
(v)
243
1024
Question
23
23.
If
4096
(
2
s
+
1
)
=
1024
3
s
, find
s
(i)
2
(ii)
(-1)
(iii)
5
(iv)
1
(v)
3
Question
24
24.
Find the reciprocal of
9
6
(i)
6
(
1
9
)
(ii)
7
(
1
9
)
(iii)
6
(
1
3
)
(iv)
6
(
-1
9
)
(v)
5
(
1
9
)
Question
25
25.
Find the exponential notation of
-9
✕
-9
✕
-9
✕
-9
✕
-9
(i)
(-9)
5
(ii)
(-12)
5
(iii)
(-9)
6
(iv)
(-6)
5
(v)
(-9)
4
Assignment Key
1) (i)
2) (iii)
3) (iv)
4) (i)
5) (i)
6) (iv)
7) (i)
8) (i)
9) (iv)
10) (ii)
11) (i)
12) (ii)
13) (ii)
14) (v)
15) (iii)
16) (i)
17) (i)
18) (iii)
19) (ii)
20) (iii)
21) (i)
22) (ii)
23) (i)
24) (i)
25) (i)
