EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Exponents
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
Expand the following base power
3
(
-5
3
)
(i)
(
-125
27
)
(ii)
-1
(iii)
625
81
(iv)
(
-343
27
)
(v)
25
9
Question
2
2.
Simplify
(
u
d
u
e
)
(
d
+
e
)
(
u
e
u
f
)
(
e
+
f
)
(
u
f
u
d
)
(
f
+
d
)
(i)
-1
(ii)
1
(iii)
0
(iv)
u
(
d
+
e
+
f
)
(v)
u
Question
3
3.
If
3
(
3
i
+
3
)
=
9
(
i
+
5
)
, find
i
(i)
6
(ii)
10
(iii)
5
(iv)
7
(v)
8
Question
4
4.
h
(-5)
3
m
(-3)
=
(i)
3
m
(-3)
h
(-5)
(ii)
m
3
3
h
5
(iii)
m
(-3)
3
h
(-5)
(iv)
h
3
3
m
5
(v)
3
m
3
h
5
Question
5
5.
Find the value of
(
-3
5
)
(-1024)
(i)
(
-1
64
)
(ii)
(
-3
64
)
(iii)
(
-1
66
)
(iv)
(
-1
62
)
(v)
1
64
Question
6
6.
(
p
−
q
)
(-4)
.
(
p
−
q
)
(-5)
=
(i)
(
p
−
q
)
20
(ii)
(
p
−
q
)
(-9)
(iii)
(
p
−
q
)
(iv)
(
p
−
q
)
(-4)
(v)
(
p
−
q
)
(-5)
Question
7
7.
Simplify
(-3)
-3
✕
5
2
✕
5
3
(-4)
2
✕
4
3
✕
2
-2
(i)
-1
✕
5
5
2
8
✕
5
3
(ii)
-1
✕
5
5
2
8
✕
3
3
(iii)
-1
✕
5
6
2
8
✕
3
3
(iv)
-2
✕
5
5
2
8
✕
3
3
(v)
-1
✕
5
5
(-1)
8
✕
3
3
Question
8
8.
√
49
p
6
144
q
6
=
(i)
7
p
6
12
q
6
(ii)
7
p
3
12
q
3
(iii)
7
p
12
12
q
12
(iv)
12
p
3
7
q
3
(v)
7
q
3
12
p
3
Question
9
9.
(
-2/3
)
(
7
4
)
(
-2/5
)
(
7
4
)
=
(i)
(
-4/15
)
(
5
4
)
(ii)
(
-4/15
)
(
9
4
)
(iii)
(
-4/15
)
(
7
4
)
(iv)
(
-4/13
)
(
7
4
)
(v)
(
-4/17
)
(
7
4
)
Question
10
10.
Simplify the expression
(
6
5
)
7
✕
(
6
5
)
7
(i)
(
6
5
)
52
(ii)
(
6
5
)
49
(iii)
(
6
5
)
47
(iv)
(
6
7
)
49
(v)
49
2
Question
11
11.
If
c
t
=
d
,
d
u
=
e
and
e
v
=
c
, then
t
u
v
=
(i)
-1
(ii)
0
(iii)
c
d
e
(iv)
(
c
+
d
+
e
)
(v)
1
Question
12
12.
The
base
in the term
(
6
5
)
9
is
(i)
6
(ii)
9
(iii)
-9
(iv)
6
5
(v)
(
-6
5
)
Question
13
13.
If
25
(
m
+
12
)
=
3125
24
=
5
n
, find
n
(i)
117
(ii)
122
(iii)
121
(iv)
119
(v)
120
Question
14
14.
Simplify the expression
(
-8
7
)
(-9)
✕
(
-5
4
)
(-9)
(i)
(
-71
30
)
(-9)
(ii)
(
-67
28
)
(-9)
(iii)
(
-67
28
)
(-6)
(iv)
(
-67
28
)
(-11)
(v)
(
-63
26
)
(-9)
Question
15
15.
If
d
(
v
−
1
)
=
e
f
,
e
(
w
−
1
)
=
f
d
,
f
(
x
−
1
)
=
d
e
then
a)
(
v
+
w
+
x
)
=
1
b)
v
w
+
w
x
+
x
v
=
1
c)
v
w
+
w
x
+
x
v
=
0
d)
v
w
x
=
1
e)
v
w
+
w
x
+
x
v
=
v
w
x
(i)
{c,d,e}
(ii)
{b,e}
(iii)
{a,e}
(iv)
{e}
Question
16
16.
If
243
2
x
=
81
(
2
x
+
1
)
, find
x
(i)
1
(ii)
5
(iii)
0
(iv)
2
(v)
3
Question
17
17.
(
7
2
✕
(
-6
5
)
✕
9
7
)
9
=
(i)
9
(
7
2
)
✕
9
(
-8
5
)
✕
1
(ii)
9
(
7
2
)
✕
10
(
-6
5
)
✕
10
(
9
7
)
(iii)
9
(
7
2
)
✕
8
(
-6
5
)
✕
8
(
9
7
)
(iv)
9
(
7
2
)
✕
9
(
-6
5
)
✕
9
(
9
7
)
(v)
9
(
7
2
)
✕
9
(
-4
5
)
✕
9
(
11
7
)
Question
18
18.
If
162000
=
m
3
✕
n
4
✕
o
4
, find
m
,
n
,
o
(i)
(6,3,2)
(ii)
(6,3,1)
(iii)
(5,3,3)
(iv)
(5,3,2)
(v)
(5,4,2)
Question
19
19.
Simplify
(
y
b
y
c
)
d
(
y
c
y
d
)
b
(
y
d
y
b
)
c
(i)
0
(ii)
-1
(iii)
y
(iv)
y
(
b
+
c
+
d
)
(v)
1
Question
20
20.
Simplify the expression
-5
(
-2
3
)
✕
-5
(
-2
3
)
(i)
-10
(
-4
3
)
(ii)
-9
(
-2
3
)
(iii)
-8
(
-2
3
)
(iv)
-10
(
-2
3
)
(v)
-11
(
-2
3
)
Question
21
21.
(
-6/5
)
(
7
6
)
=
(i)
(
-6
7
)
7
(
-6
5
)
6
(ii)
(
-6
5
)
7
(
-6
5
)
4
(iii)
(
-6
5
)
7
(
-6
5
)
6
(iv)
7
-2
(
-6
5
)
6
(v)
(
-6
5
)
7
(
-6
5
)
9
Question
22
22.
If
3
a
=
81
, find
6
a
(i)
1295
(ii)
1296
(iii)
1294
(iv)
1297
(v)
1298
Question
23
23.
(
-7
✕
-3
)
-3
=
(i)
(-7)
-3
✕
(-3)
-3
(ii)
(-7)
-3
✕
(-3)
-2
(iii)
(-7)
-3
✕
(-1)
-3
(iv)
(-7)
-3
✕
(-3)
-4
(v)
(-7)
-3
✕
(-5)
-3
Question
24
24.
Simplify
(-4)
2
✕
2
2
5
2
✕
5
-2
(i)
5
6
(ii)
2
6
(iii)
2
7
(iv)
(-1)
6
(v)
2
5
Question
25
25.
Simplify
9
-1
+
8
0
+
3
1
+
5
-1
(i)
196
45
(ii)
202
47
(iii)
186
43
(iv)
64
15
(v)
194
45
Assignment Key
1) (i)
2) (ii)
3) (iv)
4) (ii)
5) (i)
6) (ii)
7) (ii)
8) (ii)
9) (iii)
10) (ii)
11) (v)
12) (ii)
13) (v)
14) (ii)
15) (iv)
16) (iv)
17) (iv)
18) (iv)
19) (v)
20) (iv)
21) (iii)
22) (ii)
23) (i)
24) (ii)
25) (v)
