EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Exponents
Grade : SSC Grade VII
License : Non Commercial Use
Question
1
1.
Find the exponential notation of
175
54
(i)
5
2
✕
7
2
✕
3
(ii)
5
2
✕
7
2
✕
5
3
(iii)
5
2
✕
7
2
✕
3
3
(iv)
5
✕
7
2
✕
3
3
(v)
5
2
✕
7
2
2
✕
3
3
Question
2
2.
If
81
2
r
=
729
(
r
+
1
)
, find
r
(i)
3
(ii)
4
(iii)
6
(iv)
2
(v)
0
Question
3
3.
The multiplicative inverse of
8
-9
is
(i)
9
(
1
8
)
(ii)
1
(iii)
(-8)
-9
(iv)
0
(v)
8
9
Question
4
4.
Find the exponential notation of
(
-27
8
)
(i)
3
(
-5
2
)
(ii)
3
(
-3
2
)
(iii)
3
(
-1
2
)
(iv)
2
(
-3
2
)
(v)
4
(
-3
2
)
Question
5
5.
The
power
in the term
9
(
9
4
)
is
(i)
9
(ii)
(
-9
4
)
(iii)
9
4
(iv)
-9
(v)
6
Question
6
6.
Simplify the expression
-9
(
-8
3
)
✕
-9
(
-8
3
)
(i)
-17
(
-8
3
)
(ii)
-19
(
-8
3
)
(iii)
-18
(
-10
3
)
(iv)
(-2)
-18
(v)
-18
(
-8
3
)
Question
7
7.
Which of the following statements are true?
a)
a
0
=
1
(
a
≠
0)
b)
(
x
m
)
n
=
(
x
n
)
m
c)
a
m
.
a
n
=
a
m
n
d)
x
m
x
n
=
x
m
n
e)
a
.
x
m
=
a
m
.
x
m
f)
(
x
m
)
n
=
x
(
m
+
n
)
(i)
{a,b}
(ii)
{c,a}
(iii)
{c,b,a}
(iv)
{e,f,a}
(v)
{d,b}
Question
8
8.
Simplify the expression
6
5
✕
6
5
(i)
6
9
(ii)
6
11
(iii)
6
10
(iv)
3
10
(v)
9
10
Question
9
9.
Simplify the expression
(
7
6
)
5
✕
(
7/6
)
(
5
3
)
(i)
(
7/6
)
(
25
3
)
(ii)
(
7
6
)
9
(iii)
(
7/6
)
(
23
3
)
(iv)
(
7/8
)
(
25
3
)
(v)
(
7/4
)
(
25
3
)
Question
10
10.
(
-7
1
✕
5
2
)
3
=
(i)
(-7)
3
✕
2
(
5
2
)
(ii)
(-7)
3
✕
3
(
5
2
)
(iii)
(-7)
3
✕
3
(
3
2
)
(iv)
(-7)
3
✕
4
(
5
2
)
(v)
(-7)
3
✕
3
(
7
2
)
Question
11
11.
Simplify the expression
2
3
✕
(
3
2
)
2
✕
(
9
5
)
2
(i)
(
63
10
)
5
(ii)
(
61
10
)
2
(iii)
(
25
4
)
2
(iv)
(
63
10
)
2
(v)
(
51
8
)
2
Question
12
12.
-1
5
=
(i)
∞
(ii)
-1
(iii)
0
(iv)
undefined
(v)
1
Question
13
13.
(-5)
-8
=
(i)
9
(
-1
5
)
(ii)
7
(
-1
5
)
(iii)
8
(
-1
5
)
(iv)
8
(
-3
5
)
(v)
8
(
1
5
)
Question
14
14.
Simplify the expression
2
-4
✕
3
-4
✕
5
-4
(i)
30
-5
(ii)
28
-4
(iii)
33
-4
(iv)
30
-3
(v)
30
-4
Question
15
15.
The value of
(-4)
2
÷
(-4)
2
(i)
2
-1
(ii)
1
(iii)
(-2)
-1
(iv)
3
-1
Question
16
16.
Find the exponential notation of
19
12
✕
19
12
✕
19
12
✕
19
12
✕
19
12
✕
19
12
✕
19
12
✕
19
12
(i)
8
(
17
12
)
(ii)
7
(
19
12
)
(iii)
9
(
19
12
)
(iv)
8
(
7
4
)
(v)
8
(
19
12
)
Question
17
17.
Represent the given small number in scientific form
-0.00009516921
(i)
-9.516921
✕
10
-6
(ii)
-9.516921
✕
10
-7
(iii)
-9.516921
✕
10
-5
(iv)
-9.516921
✕
10
-4
(v)
-9.516921
✕
10
-3
Question
18
18.
Expand the following base power
-3
(
2
3
)
(i)
27
64
(ii)
9
4
(iii)
81
16
(iv)
729
64
(v)
27
8
Question
19
19.
(
3
✕
-9
)
-9
=
(i)
3
-9
✕
(-9)
-8
(ii)
3
-9
✕
(-9)
-9
(iii)
3
-9
✕
(-11)
-9
(iv)
3
-9
✕
(-9)
-10
(v)
3
-9
✕
(-7)
-9
Question
20
20.
Simplify the expression
(
-9/8
)
(
-9
7
)
✕
(
-9/8
)
(
-9
7
)
✕
(
-9/8
)
(
-9
7
)
(i)
(
-27
8
)
(-1)
(ii)
(
-7/2
)
(
-9
7
)
(iii)
(
-27/8
)
(
-9
7
)
(iv)
(
-27/8
)
(
-11
7
)
(v)
(
-33/10
)
(
-9
7
)
Question
21
21.
Represent the given large number in scientific form
3443707000000
(i)
3.443707
✕
10
10
(ii)
3.443707
✕
10
11
(iii)
3.443707
✕
10
13
(iv)
3.443707
✕
10
14
(v)
3.443707
✕
10
12
Question
22
22.
Simplify the expression
3
(
-7
4
)
✕
(-6)
3
✕
3
(
-2
5
)
(i)
3
(
-19
5
)
(ii)
3
(
-23
5
)
(iii)
2
(
-21
5
)
(iv)
4
(
-21
5
)
(v)
3
(
-21
5
)
Question
23
23.
Simplify the expression
(-2)
3
✕
(-2)
2
✕
(-2)
7
(i)
(-2)
12
(ii)
(-2)
15
(iii)
(-2)
13
(iv)
(-2)
11
(v)
(-5)
12
Question
24
24.
Find the value of
(
5/4
)
(
81
625
)
(i)
49
625
(ii)
27
347
(iii)
243
3125
(iv)
243
3127
(v)
241
3125
Question
25
25.
[
5
2
]
4
=
(i)
8
8
(ii)
5
8
(iii)
5
7
(iv)
2
8
(v)
5
9
Assignment Key
1) (iii)
2) (i)
3) (v)
4) (ii)
5) (i)
6) (v)
7) (i)
8) (iii)
9) (i)
10) (ii)
11) (iv)
12) (ii)
13) (iii)
14) (v)
15) (ii)
16) (v)
17) (iii)
18) (v)
19) (ii)
20) (iii)
21) (v)
22) (v)
23) (i)
24) (iii)
25) (ii)
