EduSahara™ Assignment
Name : Base Power Concepts
Chapter : Exponents and Powers
Grade : SSC Grade VIII
License : Non Commercial Use
Question
1
1.
Find the exponential notation of
5
✕
5
✕
5
✕
5
✕
5
✕
5
(i)
5
7
(ii)
8
6
(iii)
5
6
(iv)
2
6
(v)
5
5
Question
2
2.
Find the exponential notation of
-3
✕
-3
✕
-3
(i)
(-3)
3
(ii)
(-3)
4
(iii)
(-3)
2
(iv)
(-1)
3
(v)
(-5)
3
Question
3
3.
Find the exponential notation of
-14
✕
-14
✕
-14
✕
-14
✕
-14
✕
-14
(i)
(-14)
6
(ii)
(-11)
6
(iii)
(-14)
5
(iv)
(-14)
7
(v)
(-16)
6
Question
4
4.
Find the exponential notation of
11
✕
11
✕
11
✕
11
✕
11
(i)
11
5
(ii)
13
5
(iii)
11
6
(iv)
11
4
(v)
9
5
Question
5
5.
Find the exponential notation of
7
3
✕
7
3
✕
7
3
✕
7
3
✕
7
3
✕
7
3
(i)
3
6
(ii)
7
(
7
3
)
(iii)
6
(
5
3
)
(iv)
6
(
7
3
)
(v)
5
(
7
3
)
Question
6
6.
Simplify the expression
2
2
✕
2
2
(i)
4
4
(ii)
2
3
(iii)
2
4
(iv)
2
5
(v)
(-1)
4
Question
7
7.
Simplify the expression
2
-6
✕
2
-6
✕
2
-6
(i)
2
-18
(ii)
5
-18
(iii)
2
-20
(iv)
2
-17
(v)
2
-19
Question
8
8.
Simplify the expression
(-4)
6
✕
(-4)
6
✕
(-4)
6
(i)
(-4)
19
(ii)
(-7)
18
(iii)
(-2)
18
(iv)
(-4)
18
(v)
(-4)
17
Question
9
9.
Simplify the expression
6
7
✕
6
6
(i)
9
13
(ii)
6
14
(iii)
6
12
(iv)
6
13
(v)
3
13
Question
10
10.
Simplify the expression
(-3)
-7
✕
(-3)
-2
✕
(-3)
-3
(i)
(-6)
-12
(ii)
(-3)
-12
(iii)
(-3)
-10
(iv)
(-3)
-13
(v)
(-3)
-11
Question
11
11.
Simplify the expression
6
2
✕
6
2
(i)
36
(ii)
38
2
(iii)
34
2
(iv)
36
3
(v)
36
2
Question
12
12.
Simplify the expression
5
-8
✕
7
-8
✕
5
-8
(i)
175
-7
(ii)
178
-8
(iii)
175
-9
(iv)
175
-8
(v)
173
-8
Question
13
13.
Simplify the expression
(-2)
5
✕
(-6)
5
(i)
12
4
(ii)
14
5
(iii)
10
5
(iv)
12
5
(v)
12
6
Question
14
14.
Expand the following base power
5
4
(i)
3125
(ii)
125
(iii)
81
(iv)
2401
(v)
625
Question
15
15.
Expand the following base power
3
-2
(i)
1
27
(ii)
1
3
(iii)
1
(iv)
1
25
(v)
1
9
Question
16
16.
(
5
✕
7
)
-4/7
=
(i)
(
-4
7
)
5
✕
(
-4
7
)
4
(ii)
(
-4
7
)
5
✕
(
-4
5
)
7
(iii)
(
-4
7
)
5
✕
(
-4
9
)
7
(iv)
(
-4
7
)
5
✕
(
-4
7
)
10
(v)
(
-4
7
)
5
✕
(
-4
7
)
7
Question
17
17.
(
7
✕
-9
✕
-7
)
7/3
=
(i)
(
7
3
)
7
✕
(
7
3
)
(-9)
✕
(
7
3
)
(-7)
(ii)
(
7
3
)
7
✕
(
7
3
)
(-6)
✕
(
7
3
)
(-4)
(iii)
(
7
3
)
7
✕
(-9)
7
✕
(-7)
7
(iv)
(
7
3
)
7
✕
(
7
3
)
(-11)
✕
(
7
3
)
(-10)
(v)
(
7
3
)
7
✕
(
7
5
)
(-9)
✕
(
7
5
)
(-7)
Question
18
18.
(
6
1
✕
5
1
)
6
=
(i)
6
6
✕
8
6
(ii)
6
6
✕
5
6
(iii)
6
6
✕
5
7
(iv)
6
6
✕
2
6
(v)
6
6
✕
5
5
Question
19
19.
(-6)
2
=
(i)
(-6)
2
(-2)
2
(ii)
-6
1
(iii)
(-6)
3
1
(iv)
(-6)
2
1
(v)
(-6)
2
4
2
Question
20
20.
-9
(
3
2
)
=
(i)
3
-9
2
-9
(ii)
3
-8
2
-9
(iii)
3
-10
2
-9
(iv)
3
-9
5
-9
(v)
3
-9
2
-12
Question
21
21.
(
9/4
)
(
-7
3
)
=
(i)
(
9
4
)
(-7)
(
9
4
)
6
(ii)
(
9
4
)
(-7)
1
(iii)
(
3
2
)
(-7)
(
9
4
)
3
(iv)
(
9
4
)
(-7)
(
9
4
)
3
(v)
(
9
2
)
(-7)
(
9
4
)
3
Question
22
22.
-5
(
-5
6
)
4
(
-5
6
)
=
(i)
-8
(
-5
6
)
(ii)
-9
(
-7
6
)
(iii)
-9
(
-5
6
)
(iv)
-9
(
-1
2
)
(v)
-10
(
-5
6
)
Question
23
23.
(
5
3
)
(-7)
(
5
4
)
(-7)
=
(i)
(
5
12
)
(-4)
(ii)
(
5
14
)
(-7)
(iii)
(
5
12
)
(-7)
(iv)
(
5
12
)
(-9)
(v)
(
1
2
)
(-7)
Question
24
24.
[
(-3)
-2
]
2
=
(i)
(-1)
-4
(ii)
(-3)
-3
(iii)
(-3)
-5
(iv)
(-3)
-4
(v)
(-6)
-4
Question
25
25.
The multiplicative inverse of
5
-5
is
(i)
5
(
1
5
)
(ii)
5
5
(iii)
(-5)
-5
(iv)
0
(v)
1
Question
26
26.
The multiplicative inverse of
2
(
1
3
)
is
(i)
1
(ii)
0
(iii)
3
-2
(iv)
-2
(
1
3
)
(v)
2
(
-1
3
)
Question
27
27.
Which of the following statements are true?
a)
a
.
x
m
=
a
m
.
x
m
b)
a
0
=
1
(
a
≠
0)
c)
a
m
.
a
n
=
a
m
n
d)
(
x
m
)
n
=
(
x
n
)
m
e)
(
x
m
)
n
=
x
(
m
+
n
)
f)
x
m
x
n
=
x
m
n
(i)
{a,d,b}
(ii)
{c,d}
(iii)
{b,d}
(iv)
{a,b}
(v)
{e,f,b}
Question
28
28.
-1
10
=
(i)
∞
(ii)
0
(iii)
undefined
(iv)
1
(v)
-1
Question
29
29.
-1
7
=
(i)
0
(ii)
-1
(iii)
∞
(iv)
1
(v)
undefined
Question
30
30.
9
0
=
(i)
1
(ii)
∞
(iii)
-1
(iv)
undefined
(v)
0
Question
31
31.
0
0
=
(i)
1
(ii)
-1
(iii)
∞
(iv)
undefined
(v)
0
Question
32
32.
-2
0
=
(i)
1
(ii)
undefined
(iii)
-1
(iv)
∞
(v)
0
Question
33
33.
0
2
=
(i)
1
(ii)
undefined
(iii)
0
(iv)
-1
(v)
∞
Question
34
34.
Find the reciprocal of
7
8
(i)
9
(
1
7
)
(ii)
8
(
-1
7
)
(iii)
7
(
1
7
)
(iv)
8
(
1
7
)
(v)
8
(
3
7
)
Question
35
35.
Find the reciprocal of
7
(
-2
3
)
(i)
6
(
-3
2
)
(ii)
7
(
-3
2
)
(iii)
7
(
-1
2
)
(iv)
8
(
-3
2
)
(v)
7
(
-5
2
)
Assignment Key
1) (iii)
2) (i)
3) (i)
4) (i)
5) (iv)
6) (iii)
7) (i)
8) (iv)
9) (iv)
10) (ii)
11) (v)
12) (iv)
13) (iv)
14) (v)
15) (v)
16) (v)
17) (i)
18) (ii)
19) (iv)
20) (i)
21) (iv)
22) (iii)
23) (iii)
24) (iv)
25) (ii)
26) (iv)
27) (iii)
28) (iv)
29) (ii)
30) (i)
31) (iv)
32) (i)
33) (iii)
34) (iv)
35) (ii)
