EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Exponents
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
The multiplicative inverse of
2
-2
is
(i)
2
(
1
2
)
(ii)
0
(iii)
(-2)
-2
(iv)
1
(v)
2
2
Question
2
2.
−
3
g
(-2)
.
−
8
g
4
.
−
7
g
8
=
(i)
−
18
g
(-64)
(ii)
10
g
(-168)
(iii)
−
168
g
10
(iv)
−
18
g
10
(v)
−
168
g
(-64)
Question
3
3.
Find the exponential notation of
6
✕
6
✕
6
(i)
6
3
(ii)
8
3
(iii)
6
2
(iv)
4
3
(v)
6
4
Question
4
4.
If
2
w
=
32
, find
w
(i)
4
(ii)
6
(iii)
2
(iv)
5
(v)
7
Question
5
5.
Simplify the expression
-6
(
-3
4
)
✕
-6
(
-3
4
)
✕
-6
(
-7
4
)
(i)
-6
(
-65
64
)
(ii)
-6
(
-61
64
)
(iii)
-6
(
-63
64
)
(iv)
-5
(
-63
64
)
(v)
-7
(
-63
64
)
Question
6
6.
9
✕
a
✕
a
✕
a
=
(i)
11
a
3
(ii)
6
a
3
(iii)
9
a
2
(iv)
9
a
3
(v)
9
a
4
Question
7
7.
If
4
(
17
x
+
3
)
=
256
(
4
x
+
4
)
, find
x
(i)
14
(ii)
12
(iii)
11
(iv)
13
(v)
15
Question
8
8.
The value of
(-3)
-3
÷
(-5)
-3
(i)
127
27
(ii)
2
(
125
27
)
(iii)
41
9
(iv)
5
(v)
125
27
Question
9
9.
Find the exponential notation of
-16
✕
-16
✕
-16
✕
-16
✕
-16
✕
-16
✕
-16
✕
-16
(i)
(-19)
8
(ii)
(-16)
8
(iii)
(-16)
9
(iv)
(-14)
8
(v)
(-16)
7
Question
10
10.
If
3
i
=
81
, find
6
i
(i)
1295
(ii)
1296
(iii)
1294
(iv)
1297
(v)
1299
Question
11
11.
Simplify the expression
(-2)
-3
✕
(-2)
-3
✕
(-2)
-3
(i)
(-2)
-9
(ii)
(-2)
-6
(iii)
(-2)
-10
(iv)
(-4)
-9
(v)
(-2)
-8
Question
12
12.
Expand the following base power
4
(
-1
5
)
(i)
81
625
(ii)
(
-1
125
)
(iii)
(
-1
3125
)
(iv)
1
625
Question
13
13.
8
p
2
q
3
r
2
=
(i)
8
✕
p
✕
p
✕
q
✕
q
✕
q
✕
r
✕
r
(ii)
5
✕
p
✕
p
✕
q
✕
q
✕
q
✕
r
✕
r
(iii)
11
✕
p
✕
p
✕
q
✕
q
✕
q
✕
r
✕
r
(iv)
8
✕
p
✕
q
✕
q
✕
q
✕
r
✕
r
(v)
8
✕
p
✕
p
✕
p
✕
q
✕
q
✕
q
✕
r
✕
r
Question
14
14.
Simplify
4
2
✕
5
2
✕
(-2)
2
2
3
✕
2
3
✕
2
3
✕
(-5)
3
(i)
-1
✕
1
2
3
✕
5
(ii)
-1
✕
1
2
3
✕
8
(iii)
-1
✕
1
0
✕
5
(iv)
-1
✕
0
2
3
✕
5
(v)
(-1)
2
✕
1
2
3
✕
5
Question
15
15.
2
r
(-4)
5
v
(-3)
=
(i)
5
v
(-3)
2
r
(-4)
(ii)
2
r
3
5
v
4
(iii)
2
v
(-3)
5
r
(-4)
(iv)
2
v
3
5
r
4
(v)
5
v
3
2
r
4
Question
16
16.
6
d
5
.
9
d
7
.
2
d
7
.
5
d
6
=
(i)
19
d
270
(ii)
20
d
19
(iii)
20
d
210
(iv)
540
d
25
(v)
270
d
210
Question
17
17.
Find the reciprocal of
9
6
(i)
6
(
1
9
)
(ii)
5
(
1
9
)
(iii)
7
(
1
9
)
(iv)
6
(
-1
9
)
(v)
6
(
1
3
)
Question
18
18.
7
6
=
(i)
-6
(
-1
7
)
(ii)
-5
(
1
7
)
(iii)
-6
(
3
7
)
(iv)
-6
(
1
7
)
(v)
-7
(
1
7
)
Question
19
19.
Simplify the expression
6
7
✕
3
7
(i)
18
6
(ii)
18
8
(iii)
20
7
(iv)
15
7
(v)
18
7
Question
20
20.
(
−
3
s
5
t
4
)
5
=
(i)
−
243
s
25
t
20
(ii)
−
243
s
10
t
9
(iii)
−
15
s
10
t
9
(iv)
−
3
s
25
t
20
(v)
−
15
s
25
t
20
Question
21
21.
Simplify the expression
(-4)
5
✕
(-4)
5
✕
(-4)
5
(i)
(-1)
15
(ii)
(-4)
15
(iii)
(-4)
14
(iv)
(-4)
16
(v)
(-7)
15
Question
22
22.
(-4)
2
(-4)
9
=
(i)
(-1)
-7
(ii)
(-4)
-7
(iii)
(-7)
-7
(iv)
(-4)
-8
(v)
(-4)
-6
Question
23
23.
g
✕
g
✕
g
✕
g
✕
h
✕
h
✕
i
✕
i
=
(i)
−
g
4
h
2
i
2
(ii)
g
3
h
2
i
2
(iii)
g
5
h
2
i
2
(iv)
g
4
h
2
i
2
(v)
4
g
4
h
2
i
2
Question
24
24.
Find the exponential notation of
13
✕
13
✕
13
(i)
16
3
(ii)
11
3
(iii)
13
4
(iv)
13
3
(v)
13
2
Question
25
25.
[
(
5
4
)
6
✕
(
5
4
)
5
]
÷
5
44
(i)
0
(ii)
1
(iii)
5
(iv)
4
(v)
2
Assignment Key
1) (v)
2) (iii)
3) (i)
4) (iv)
5) (iii)
6) (iv)
7) (iv)
8) (v)
9) (ii)
10) (ii)
11) (i)
12) (iv)
13) (i)
14) (i)
15) (iv)
16) (iv)
17) (i)
18) (iv)
19) (v)
20) (i)
21) (ii)
22) (ii)
23) (iv)
24) (iv)
25) (ii)
