EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Exponents and Powers
Grade : CBSE Grade VII
License : Non Commercial Use
Question
1
1.
Find the exponential notation of
15
11
✕
15
11
✕
15
11
✕
15
11
✕
15
11
✕
15
11
(i)
7
(
15
11
)
(ii)
5
(
15
11
)
(iii)
6
(
17
11
)
(iv)
6
(
13
11
)
(v)
6
(
15
11
)
Question
2
2.
(
m
3
n
3
o
8
)
8
=
(i)
(
m
24
n
24
o
64
)
(ii)
(
m
24
n
24
o
16
)
(iii)
(
m
11
n
11
o
64
)
(iv)
(
8
m
3
n
3
8
o
8
)
(v)
(
m
11
n
11
o
16
)
Question
3
3.
Expand the following base power
-5
(
3
5
)
(i)
3125
(ii)
15625
729
(iii)
625
81
(iv)
1
(v)
3125
243
Question
4
4.
c
6
c
10
=
(i)
1
c
60
(ii)
1
c
4
(iii)
1
c
(-4)
(iv)
c
4
(v)
1
c
16
Question
5
5.
Simplify the expression
-9
(
-5
3
)
✕
(-2)
-9
(i)
-9
(
8
3
)
(ii)
4
-9
(iii)
-8
(
10
3
)
(iv)
-9
(
10
3
)
(v)
-10
(
10
3
)
Question
6
6.
Find the exponential notation of
(
-27
56
)
(i)
-1
✕
3
3
4
3
✕
7
(ii)
-1
✕
3
3
2
3
✕
7
(iii)
-1
✕
3
4
2
3
✕
7
(iv)
-1
✕
3
2
2
3
✕
7
(v)
-1
✕
3
3
2
3
✕
4
Question
7
7.
2
(
-4
3
)
=
(i)
-2
(
-5
4
)
(ii)
-3
(
-3
4
)
(iii)
-1
(
-3
4
)
(iv)
-2
(
-1
4
)
(v)
-2
(
-3
4
)
Question
8
8.
23
✕
h
✕
h
✕
h
✕
h
✕
i
✕
i
✕
i
✕
i
=
(i)
23
h
3
i
4
(ii)
25
h
4
i
4
(iii)
23
h
4
i
4
(iv)
21
h
4
i
4
(v)
23
h
5
i
4
Question
9
9.
Simplify the expression
(-3)
7
✕
(-3)
5
✕
(-3)
5
(i)
(-3)
16
(ii)
(-3)
18
(iii)
(-1)
17
(iv)
(-3)
17
(v)
(-6)
17
Question
10
10.
Represent the given small number in scientific form
-0.8760694
(i)
-8.760694
✕
10
-1
(ii)
-8.760694
✕
10
-3
(iii)
-8.760694
(iv)
-8.760694
✕
10
(v)
-8.760694
✕
10
-2
Question
11
11.
[
-4
]
-3
(
6
5
)
=
(i)
12
(
6
5
)
(ii)
13
(
6
5
)
(iii)
12
(
8
5
)
(iv)
12
(
4
5
)
(v)
11
(
6
5
)
Question
12
12.
The expanded form of
(
−
5
p
)
3
is
(i)
(
−
5
p
)
✕
(
−
5
p
)
✕
(
−
5
p
)
✕
(
−
5
p
)
(ii)
(
−
5
p
)
✕
(
−
5
p
)
(iii)
(
−
5
p
)
✕
(
−
5
p
)
✕
(
−
5
p
)
✕
(
−
5
p
)
✕
(
−
5
p
)
(iv)
(
−
5
p
)
(v)
(
−
5
p
)
✕
(
−
5
p
)
✕
(
−
5
p
)
Question
13
13.
Represent the given large number in standard form
-4858487000000
✕
10
6
(i)
-4.858487
✕
10
16
(ii)
-4.858487
✕
10
19
(iii)
-4.858487
✕
10
18
(iv)
-4.858487
✕
10
17
(v)
-4.858487
✕
10
20
Question
14
14.
2
6
2
-6
=
(i)
2
12
(ii)
2
11
(iii)
(-1)
12
(iv)
4
12
(v)
2
13
Question
15
15.
Find the exponential notation of
-11
✕
-11
✕
-11
(i)
(-8)
3
(ii)
(-11)
4
(iii)
(-13)
3
(iv)
(-11)
2
(v)
(-11)
3
Question
16
16.
Expand the following base power
3
(
3
2
)
(i)
125
8
(ii)
81
16
(iii)
27
8
(iv)
9
4
(v)
1
8
Question
17
17.
Write the given number in usual form
6.549404
✕
10
10
(i)
65494040000
(ii)
654940400000
(iii)
6549404000000
(iv)
6549404000
(v)
654940400
Question
18
18.
Simplify the expression
7
(
-7
8
)
✕
7
(
-4
9
)
(i)
6
(
7
18
)
(ii)
7
(
1
2
)
(iii)
8
(
7
18
)
(iv)
7
(
7
18
)
(v)
7
(
5
18
)
Question
19
19.
Simplify the expression
6
9
✕
7
9
✕
5
9
(i)
212
9
(ii)
210
9
(iii)
210
10
(iv)
208
9
(v)
210
8
Question
20
20.
(-9)
5
=
(i)
-6
(
-1
9
)
(ii)
-5
(
-1
9
)
(iii)
-5
(
1
9
)
(iv)
-4
(
-1
9
)
(v)
-5
(
-1
3
)
Question
21
21.
Find the prime factorization of
9
(i)
3
-1
(ii)
3
3
(iii)
3
2
(iv)
6
2
(v)
3
Question
22
22.
The expanded form of
(
1
2
f
g
)
3
is
(i)
1
2
f
g
✕
1
2
f
g
✕
1
2
f
g
(ii)
1
2
f
g
(iii)
1
2
f
g
✕
1
2
f
g
(iv)
1
2
f
g
✕
1
2
f
g
✕
1
2
f
g
✕
1
2
f
g
✕
1
2
f
g
(v)
1
2
f
g
✕
1
2
f
g
✕
1
2
f
g
✕
1
2
f
g
Question
23
23.
Find the exponential notation of
(
-35
8
)
(i)
-1
✕
5
✕
7
4
3
(ii)
-1
✕
5
✕
7
2
3
(iii)
-2
✕
5
✕
7
2
3
(iv)
(-1)
2
✕
5
✕
7
2
3
(v)
-1
✕
5
✕
7
(-1)
3
Question
24
24.
-1
7
=
(i)
undefined
(ii)
1
(iii)
0
(iv)
∞
(v)
-1
Question
25
25.
Which of the following statements are true?
a)
a
0
=
1
(
a
≠
0)
b)
a
m
.
a
n
=
a
m
n
c)
a
.
x
m
=
a
m
.
x
m
d)
x
m
x
n
=
x
m
n
e)
(
x
m
)
n
=
(
x
n
)
m
f)
(
x
m
)
n
=
x
(
m
+
n
)
(i)
{a,e}
(ii)
{b,a}
(iii)
{d,f,a}
(iv)
{b,e,a}
(v)
{c,e}
Assignment Key
1) (v)
2) (i)
3) (v)
4) (ii)
5) (iv)
6) (ii)
7) (v)
8) (iii)
9) (iv)
10) (i)
11) (i)
12) (v)
13) (iii)
14) (i)
15) (v)
16) (iii)
17) (i)
18) (iv)
19) (ii)
20) (ii)
21) (iii)
22) (i)
23) (ii)
24) (v)
25) (i)