EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Exponents
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
The value of
2
-2
÷
4
-2
(i)
-1
(
-1
4
)
(ii)
-1
(
1
6
)
(iii)
-2
(
1
4
)
(iv)
-1
(
1
4
)
(v)
-1
(
3
4
)
Question
2
2.
If
25
(
k
+
6
)
=
3125
16
=
5
l
, find
l
(i)
83
(ii)
81
(iii)
79
(iv)
80
(v)
77
Question
3
3.
[
3
-4
]
4
=
(i)
1
(ii)
3
-16
(iii)
3
-17
(iv)
3
-15
(v)
6
-16
Question
4
4.
Expand the following base power
5
5
(i)
3125
(ii)
32768
(iii)
625
(iv)
243
(v)
15625
Question
5
5.
The multiplicative inverse of
7
-4
is
(i)
7
4
(ii)
0
(iii)
4
(
1
7
)
(iv)
1
(v)
(-7)
-4
Question
6
6.
Simplify the expression
6
-9
✕
6
-9
(i)
6
-17
(ii)
3
-18
(iii)
6
-19
(iv)
8
-18
(v)
6
-18
Question
7
7.
If
k
w
=
l
x
=
m
y
=
n
z
and
k
l
=
m
n
, then
(i)
x
w
=
y
z
(ii)
1
x
+
1
z
=
1
y
+
1
w
(iii)
1
x
+
1
w
=
1
y
+
1
z
(iv)
x
y
=
w
z
(v)
1
x
+
1
y
=
1
w
+
1
z
Question
8
8.
[
(
5
4
)
]
5/3
7
=
(i)
(
21
10
)
7
(ii)
(
25
12
)
7
(iii)
(
25
12
)
5
(iv)
(
29
14
)
7
(v)
(
25
12
)
9
Question
9
9.
(
r
5
s
3
)
v
=
(i)
r
5
v
.
s
3
v
(ii)
s
3
v
r
5
v
(iii)
r
5
v
.
−
s
3
v
(iv)
r
5
v
s
3
v
Question
10
10.
Simplify the expression
(-5)
-2
✕
(-5)
-2
✕
(-5)
-2
(i)
(-2)
-6
(ii)
(-5)
-5
(iii)
(-8)
-6
(iv)
(-5)
-7
(v)
(-5)
-6
Question
11
11.
If
a
(
x
−
1
)
=
b
c
,
b
(
y
−
1
)
=
c
a
,
c
(
z
−
1
)
=
a
b
then
a)
x
y
+
y
z
+
z
x
=
0
b)
x
y
z
=
1
c)
x
y
+
y
z
+
z
x
=
x
y
z
d)
(
x
+
y
+
z
)
=
1
e)
x
y
+
y
z
+
z
x
=
1
(i)
{b,c}
(ii)
{a,c}
(iii)
{d,e,c}
(iv)
{c}
Question
12
12.
Simplify
5
-3
✕
(-2)
-2
✕
2
-3
✕
(-3)
-2
2
-2
✕
(-5)
-3
✕
(-3)
-3
(i)
3
4
3
(ii)
3
(-1)
3
(iii)
2
2
3
(iv)
3
2
2
3
(v)
3
2
3
Question
13
13.
[
(
4
3
)
2
✕
(
4
2
)
5
]
÷
4
16
(i)
4
(ii)
0
(iii)
1
(iv)
2
Question
14
14.
Simplify
(-3)
-2
✕
(-2)
3
✕
4
2
(-4)
-3
✕
4
-3
✕
(-4)
2
(i)
2
15
3
2
(ii)
2
15
0
(iii)
2
14
3
2
(iv)
2
15
6
2
(v)
2
16
3
2
Question
15
15.
Simplify the expression
(
-8/3
)
(
-4
7
)
✕
(
-8
3
)
(-4)
✕
(
-8
3
)
(-7)
(i)
(-16)
-8
(ii)
(
-8
3
)
(-13)
(iii)
(
-8
5
)
(-16)
(iv)
(
-8
3
)
(-16)
(v)
(
-8
3
)
(-19)
Question
16
16.
(
−
5
c
6
d
4
)
3
=
(i)
−
125
c
18
d
12
(ii)
−
125
c
9
d
7
(iii)
−
15
c
18
d
12
(iv)
−
15
c
9
d
7
(v)
−
5
c
18
d
12
Question
17
17.
(
x
5
y
3
)
7
=
(i)
7
x
12
y
10
(ii)
7
x
35
y
21
(iii)
x
35
y
21
(iv)
7
x
5
y
3
(v)
x
12
y
10
Question
18
18.
(
x
)
(
a
−
b
)
.
(
x
)
(
b
−
c
)
.
(
x
)
(
c
−
a
)
=
(i)
3
(ii)
2
(iii)
0
(iv)
1
(v)
(-2)
Question
19
19.
(
9
5
✕
(
-7
9
)
✕
(
-9
4
)
)
7/6
=
(i)
(
7/6
)
(
9
5
)
✕
(
7
6
)
(-1)
✕
(
7/6
)
(
-11
4
)
(ii)
(
7/6
)
(
9
5
)
✕
(
7/6
)
(
-7
9
)
✕
(
7/6
)
(
-9
4
)
(iii)
(
7/6
)
(
9
5
)
✕
(
7/6
)
(
-5
9
)
✕
(
7/6
)
(
-7
4
)
(iv)
(
7/6
)
(
9
5
)
✕
(
7/4
)
(
-7
9
)
✕
(
7/4
)
(
-9
4
)
(v)
(
7/6
)
(
9
5
)
✕
(
7/8
)
(
-7
9
)
✕
(
7/8
)
(
-9
4
)
Question
20
20.
Simplify the expression
2
-4
✕
2
-4
✕
2
-4
(i)
2
-12
(ii)
5
-12
(iii)
2
-13
(iv)
2
-15
(v)
2
-11
Question
21
21.
√
0.0900
=
(i)
0.03
(ii)
0.5
(iii)
0.3
(iv)
0.4
(v)
0.2
Question
22
22.
The
power
in the term
(
9
7
)
8
is
(i)
9
7
(ii)
-8
(iii)
8
(iv)
1
(v)
(
-9
7
)
Question
23
23.
6
(
7
5
)
=
(i)
-7
(
5
7
)
(ii)
-5
(
5
7
)
(iii)
-6
(
5
7
)
(iv)
1
(v)
-6
(
3
7
)
Question
24
24.
The
exponent
in the term
(
7/5
)
(
4
3
)
is
(i)
7
5
(ii)
4
3
(iii)
1
(iv)
(
-4
3
)
(v)
(
-7
5
)
Question
25
25.
-6
(
-7
6
)
=
(i)
(-7)
-6
3
-6
(ii)
(-7)
-7
6
-6
(iii)
(-7)
-6
6
-6
(iv)
(-7)
-6
9
-6
(v)
(-7)
-5
6
-6
Assignment Key
1) (iv)
2) (iv)
3) (ii)
4) (i)
5) (i)
6) (v)
7) (iii)
8) (ii)
9) (iv)
10) (v)
11) (iv)
12) (v)
13) (iii)
14) (i)
15) (iv)
16) (i)
17) (iii)
18) (iv)
19) (ii)
20) (i)
21) (iii)
22) (i)
23) (iii)
24) (i)
25) (iii)
