EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Exponents
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
Simplify the expression
(-3)
-5
✕
(-3)
-5
(i)
(-1)
-10
(ii)
(-6)
-10
(iii)
(-3)
-11
(iv)
(-3)
-9
(v)
(-3)
-10
Question
2
2.
The multiplicative inverse of
6
(
1
2
)
is
(i)
6
(
-1
2
)
(ii)
2
-6
(iii)
0
(iv)
-6
(
1
2
)
(v)
1
Question
3
3.
Simplify
(-5)
2
✕
5
2
✕
4
2
(-4)
2
✕
(-3)
2
✕
(-5)
3
✕
5
2
(i)
-1
✕
1
3
2
✕
2
(ii)
-1
✕
0
3
2
✕
5
(iii)
-1
✕
1
3
2
✕
5
(iv)
(-1)
2
✕
1
3
2
✕
5
(v)
-1
✕
1
3
2
✕
7
Question
4
4.
8
r
6
s
(-6)
.
−
9
r
(-9)
s
3
=
(i)
−
72
r
(-3)
s
(-3)
(ii)
−
72
r
6
s
(-6)
(iii)
17
r
(-3)
s
(-3)
(iv)
−
r
(-3)
s
(-3)
(v)
72
r
(-3)
s
(-9)
Question
5
5.
−
3
k
(-2)
.
−
8
k
(-7)
=
(i)
−
11
k
14
(ii)
−
9
k
24
(iii)
24
k
(-9)
(iv)
−
11
k
(-9)
(v)
24
k
14
Question
6
6.
Simplify the expression
(
7
3
)
7
✕
(
7
3
)
7
✕
(
7
3
)
7
(i)
4
7
(ii)
7
6
(iii)
7
7
(iv)
7
8
(v)
9
7
Question
7
7.
Simplify the expression
7
(
-2
9
)
✕
7
(
-2
9
)
(i)
13
(
-2
9
)
(ii)
17
(
-2
9
)
(iii)
14
(
-2
9
)
(iv)
15
(
-2
9
)
(v)
14
(
-4
9
)
Question
8
8.
Simplify
3
√
216
+
3
√
343
3
√
27
−
3
√
729
=
(i)
(
-15
6
)
(ii)
(
-13
8
)
(iii)
(
-11
6
)
(iv)
(
-13
4
)
(v)
(
-13
6
)
Question
9
9.
(
e
(
−
8
i
−
6
)
e
(
8
i
+
8
)
)
=
(i)
e
(
−
16
i
−
13
)
(ii)
e
(
−
4
i
−
8
)
(iii)
e
2
(iv)
e
(
−
16
i
−
14
)
(v)
e
(
12
i
2
+
16
i
+
1
)
Question
10
10.
Find the value of
(
5/3
)
(
-27
125
)
(i)
(
-241
3125
)
(ii)
(
-243
3127
)
(iii)
(
-49
625
)
(iv)
(
-27
347
)
(v)
(
-243
3125
)
Question
11
11.
If
77175
=
7
d
✕
3
e
✕
5
f
, find
d
,
e
,
f
(i)
(3,2,5)
(ii)
(6,2,(-1))
(iii)
(3,5,2)
(iv)
(6,2,2)
(v)
(3,2,2)
Question
12
12.
The multiplicative inverse of
3
-2
is
(i)
3
2
(ii)
0
(iii)
2
(
1
3
)
(iv)
1
(v)
(-3)
-2
Question
13
13.
If
405000
=
f
4
✕
g
4
✕
h
3
, find
f
,
g
,
h
(i)
(4,5,1)
(ii)
(3,5,3)
(iii)
(4,5,2)
(iv)
(3,5,2)
(v)
(3,6,2)
Question
14
14.
j
14
j
5
=
(i)
j
19
(ii)
j
70
(iii)
5
j
9
(iv)
14
j
9
(v)
j
9
Question
15
15.
Simplify the expression
6
(
9
7
)
✕
7
(
9
7
)
(i)
13
(
11
7
)
(ii)
13
(
9
7
)
(iii)
14
(
9
7
)
(iv)
12
(
9
7
)
(v)
1
Question
16
16.
(
3
1
✕
(
-7
2
)
✕
(
-4
5
)
)
-3
=
(i)
3
-3
✕
-3
(
-7
2
)
✕
-3
(
-4
5
)
(ii)
3
-3
✕
-3
(
-9
2
)
✕
-3
(
-6
5
)
(iii)
3
-3
✕
-3
(
-5
2
)
✕
-3
(
-2
5
)
(iv)
3
-3
✕
-2
(
-7
2
)
✕
-2
(
-4
5
)
(v)
3
-3
✕
-4
(
-7
2
)
✕
-4
(
-4
5
)
Question
17
17.
If
9
(
j
+
5
)
=
81
16
=
3
k
, find
k
(i)
65
(ii)
63
(iii)
61
(iv)
66
(v)
64
Question
18
18.
The value of
-2
(
-1
2
)
✕
-3
(
-3
2
)
(i)
(
-10
9
)
(ii)
2
(
-32
27
)
(iii)
(
-32
27
)
(iv)
(
-32
25
)
(v)
(
-34
27
)
Question
19
19.
(
k
5
)
9
=
(i)
k
5
(ii)
9
k
5
(iii)
k
14
(iv)
k
4
(v)
k
45
Question
20
20.
Simplify the expression
-8
(
8
7
)
✕
6
-8
(i)
-8
(
48
7
)
(ii)
-7
(
48
7
)
(iii)
-8
(
50
7
)
(iv)
-9
(
48
7
)
(v)
-8
(
46
7
)
Question
21
21.
Simplify the expression
5
(
7
6
)
✕
(
7/5
)
(
7
6
)
✕
(
3/2
)
(
7
6
)
(i)
(
79/10
)
(
5
6
)
(ii)
(
79/10
)
(
3
2
)
(iii)
(
79/10
)
(
7
6
)
(iv)
(
31/4
)
(
7
6
)
(v)
(
65/8
)
(
7
6
)
Question
22
22.
Simplify the expression
7
(
5
4
)
✕
7
(
7
6
)
✕
7
(
4
3
)
(i)
7
(
11
6
)
(ii)
7
(
37
18
)
(iii)
6
(
35
18
)
(iv)
8
(
35
18
)
(v)
7
(
35
18
)
Question
23
23.
The
base
in the term
5
6
is
(i)
-5
(ii)
5
(iii)
6
(iv)
-6
(v)
2
Question
24
24.
The value of
5
-2
✕
2
-3
(i)
200
-1
(ii)
200
-2
(iii)
201
-1
(iv)
198
-1
(v)
202
-1
Question
25
25.
The
exponent
in the term
9
3
is
(i)
9
1
(ii)
-3
(iii)
0
(iv)
-9
(v)
3
Assignment Key
1) (v)
2) (iv)
3) (iii)
4) (i)
5) (iii)
6) (iii)
7) (iii)
8) (v)
9) (iv)
10) (v)
11) (v)
12) (i)
13) (iv)
14) (v)
15) (ii)
16) (i)
17) (v)
18) (iii)
19) (v)
20) (i)
21) (iii)
22) (v)
23) (ii)
24) (i)
25) (v)
