EduSahara™ Assignment
Name : Base Powers Miscellaneous
Chapter : Exponents and Powers
Grade : CBSE Grade VIII
License : Non Commercial Use
Question
1
1.
Which of the following statements are true?
a)
a
.
x
m
=
a
m
.
x
m
b)
a
m
.
a
n
=
a
m
n
c)
(
x
m
)
n
=
(
x
n
)
m
d)
x
m
x
n
=
x
m
n
e)
(
x
m
)
n
=
x
(
m
+
n
)
f)
a
0
=
1
(
a
≠
0)
(i)
{a,c}
(ii)
{c,f}
(iii)
{b,f}
(iv)
{d,e,c}
(v)
{a,f,c}
Question
2
2.
Simplify
(
7
a
.
64
(
a
−
1
)
.
81
(
a
−
3
)
49
(
a
−
1
)
.
8
(
a
−
3
)
.
9
(
a
−
2
)
)
(i)
7
1
.
8
2
.
9
(
−
1
)
(ii)
7
(
−
a
+
2
)
.
8
(
−
a
+
5
)
.
9
(
−
a
+
1
)
(iii)
7
(
−
a
+
2
)
.
8
(
a
+
1
)
.
9
(
a
−
4
)
(iv)
7
(
a
+
1
)
.
8
(
−
a
+
5
)
.
9
(
−
a
+
1
)
Question
3
3.
-1
4
=
(i)
undefined
(ii)
1
(iii)
0
(iv)
∞
(v)
-1
Question
4
4.
-1
9
=
(i)
1
(ii)
0
(iii)
∞
(iv)
undefined
(v)
-1
Question
5
5.
4
0
=
(i)
undefined
(ii)
∞
(iii)
0
(iv)
-1
(v)
1
Question
6
6.
0
0
=
(i)
undefined
(ii)
0
(iii)
1
(iv)
-1
(v)
∞
Question
7
7.
-6
0
=
(i)
undefined
(ii)
-1
(iii)
0
(iv)
1
(v)
∞
Question
8
8.
0
2
=
(i)
∞
(ii)
-1
(iii)
undefined
(iv)
0
(v)
1
Question
9
9.
Find the reciprocal of
6
5
(i)
4
(
1
6
)
(ii)
5
(
1
2
)
(iii)
5
(
-1
6
)
(iv)
5
(
1
6
)
(v)
6
(
1
6
)
Question
10
10.
Find the reciprocal of
8
(
-5
6
)
(i)
8
(
-8
5
)
(ii)
7
(
-6
5
)
(iii)
8
(
-4
5
)
(iv)
9
(
-6
5
)
(v)
8
(
-6
5
)
Question
11
11.
(
4
4
✕
2
6
)
5
=
(i)
4
20
✕
2
6
(ii)
4
20
✕
2
30
(iii)
4
4
✕
2
6
(iv)
4
30
✕
2
20
(v)
4
4
✕
2
30
Question
12
12.
(
9
(-5)
)
2
✕
(
11
6
)
-4
✕
(
12
3
)
3
(
9
(-2)
)
-2
✕
(
11
2
)
-3
✕
(
12
5
)
2
=
(i)
9
(-14)
✕
11
(-17)
✕
12
(-1)
(ii)
9
(-13)
✕
11
(-18)
✕
12
(-1)
(iii)
9
(-14)
✕
11
(-18)
✕
12
(-1)
(iv)
9
(-14)
✕
11
(-18)
✕
1
Question
13
13.
[
(
7
5
)
6
✕
(
7
5
)
4
]
÷
7
50
(i)
7
(ii)
1
(iii)
2
(iv)
0
(v)
4
Question
14
14.
[
-8
(
5
6
)
✕
-8
(
7
4
)
]
÷
[
8
(
6
5
)
✕
8
(
4
7
)
]
=
(i)
7
4
(ii)
1
(iii)
(-1)
(iv)
0
(v)
5
6
Assignment Key
1) (ii)
2) (iii)
3) (ii)
4) (v)
5) (v)
6) (i)
7) (iv)
8) (iv)
9) (iv)
10) (v)
11) (ii)
12) (iii)
13) (ii)
14) (ii)