EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Exponents
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
Simplify
2
2
✕
3
-2
✕
5
-2
✕
(-5)
2
5
-2
✕
(-3)
2
✕
(-4)
-2
✕
3
-2
(i)
40
3
(ii)
3
(
40
3
)
(iii)
14
2
(iv)
2
(
38
3
)
(v)
2
(
40
3
)
Question
2
2.
The
base
in the term
9
3
is
(i)
-3
(ii)
9
1
(iii)
-9
(iv)
3
(v)
6
Question
3
3.
Expand the following base power
5
5
(i)
3125
(ii)
32768
(iii)
15625
(iv)
243
(v)
625
Question
4
4.
(
-3
✕
-6
)
9/5
=
(i)
(
9
5
)
(-3)
✕
(-6)
3
(ii)
(
9
5
)
(-3)
✕
(
9
7
)
(-6)
(iii)
(
9
5
)
(-3)
✕
(
9
5
)
(-6)
(iv)
(
9
5
)
(-3)
✕
(
9
5
)
(-3)
(v)
(
9
5
)
(-3)
✕
(
9
5
)
(-8)
Question
5
5.
The
exponent
in the term
(
7
3
)
6
is
(i)
7
3
(ii)
-6
(iii)
(
-7
3
)
(iv)
6
1
(v)
5
3
Question
6
6.
(
u
9
v
2
w
4
)
5
=
(i)
(
5
u
9
v
2
5
w
4
)
(ii)
(
u
45
v
10
w
9
)
(iii)
(
u
14
v
7
w
9
)
(iv)
(
u
45
v
10
w
20
)
(v)
(
u
14
v
7
w
20
)
Question
7
7.
Simplify
5
-1
+
8
0
+
7
1
+
6
-1
(i)
83
10
(ii)
235
28
(iii)
267
32
(iv)
251
30
(v)
253
30
Question
8
8.
(
5
4
)
(-6)
(
5
3
)
(-6)
=
(i)
(
-5
14
)
(-6)
(ii)
(
-5
12
)
(-9)
(iii)
(
-5
12
)
(-3)
(iv)
(
-5
12
)
(-6)
(v)
(
-1
2
)
(-6)
Question
9
9.
Simplify
(
u
m
u
n
)
(
m
+
n
)
(
u
n
u
o
)
(
n
+
o
)
(
u
o
u
m
)
(
o
+
m
)
(i)
-1
(ii)
u
(
m
+
n
+
o
)
(iii)
u
(iv)
1
(v)
0
Question
10
10.
Simplify the expression
(
4
3
)
5
✕
(
3
2
)
5
(i)
(
17
6
)
3
(ii)
(
21
8
)
5
(iii)
(
17
6
)
7
(iv)
(
17
6
)
5
(v)
(
13
4
)
5
Question
11
11.
Simplify
(-5)
-2
✕
(-5)
-3
✕
(-3)
-3
✕
(-2)
-2
3
-3
✕
(-4)
-2
✕
(-3)
-2
(i)
2
2
✕
3
2
8
5
(ii)
2
2
✕
3
2
2
5
(iii)
2
3
✕
3
2
5
5
(iv)
2
2
✕
3
5
5
(v)
2
2
✕
3
2
5
5
Question
12
12.
Expand the following base power
5
-4
(i)
1
125
(ii)
1
16
(iii)
1
3125
(iv)
1
625
(v)
1
4096
Question
13
13.
Simplify
4
3
✕
5
3
✕
(-5)
3
2
3
✕
4
3
✕
(-3)
2
✕
(-2)
3
(i)
2
(
127
24
)
(ii)
3
(
125
24
)
(iii)
125
24
(iv)
2
(
41
8
)
(v)
2
(
125
24
)
Question
14
14.
The
exponent
in the term
(
9
2
)
3
is
(i)
3
(ii)
-3
(iii)
(
-9
2
)
(iv)
9
2
(v)
7
2
Question
15
15.
Simplify the expression
4
7
✕
4
3
✕
4
6
(i)
2
16
(ii)
7
16
(iii)
4
16
(iv)
4
17
(v)
4
15
Question
16
16.
Simplify
√
49
−
√
121
√
144
+
√
64
=
(i)
(
-1
10
)
(ii)
(
-2
9
)
(iii)
(
-2
11
)
(iv)
(
-3
10
)
(v)
(
-1
5
)
Question
17
17.
Simplify the expression
(-9)
-3
✕
(-9)
-3
(i)
81
-2
(ii)
81
-4
(iii)
79
-3
(iv)
83
-3
(v)
81
-3
Question
18
18.
Simplify the expression
(
-7/2
)
(
-8
9
)
✕
(
-7/2
)
(
-9
2
)
(i)
4
-7
(ii)
(
-7
2
)
4
(iii)
(
-7
2
)
2
(iv)
(
-7
4
)
4
(v)
(
-7
2
)
7
Question
19
19.
(-9)
-4
=
(i)
5
(
-1
9
)
(ii)
4
(
1
9
)
(iii)
4
(
-1
3
)
(iv)
3
(
-1
9
)
(v)
4
(
-1
9
)
Question
20
20.
(
(
-7
6
)
✕
-6
1
✕
3
2
)
-4/3
=
(i)
(
-4/3
)
(
-7
6
)
✕
(
-4
5
)
(-6)
✕
(
-4/5
)
(
3
2
)
(ii)
(
-4/3
)
(
-7
6
)
✕
(-6)
-4
✕
-4
(
3
2
)
(iii)
(
-4/3
)
(
-7
6
)
✕
(
-4
3
)
(-8)
✕
(
-4/3
)
(
1
2
)
(iv)
(
-4/3
)
(
-7
6
)
✕
(
-4
3
)
(-6)
✕
(
-4/3
)
(
3
2
)
(v)
(
-4/3
)
(
-7
6
)
✕
(
-4
3
)
(-4)
✕
(
-4/3
)
(
5
2
)
Question
21
21.
[
(
3
4
)
6
✕
(
3
6
)
5
]
÷
3
54
(i)
4
(ii)
0
(iii)
3
(iv)
1
(v)
2
Question
22
22.
The value of
2
(
-1
3
)
÷
3
(
2
3
)
(i)
3
8
(ii)
2
(
3
8
)
(iii)
1
2
(iv)
1
8
(v)
5
8
Question
23
23.
Simplify the expression
-3
(
4
3
)
✕
-9
(
4
3
)
✕
-5
(
4
3
)
(i)
-16
(
4
3
)
(ii)
-17
(
2
3
)
(iii)
-18
(
4
3
)
(iv)
-17
(
4
3
)
(v)
2
-17
Question
24
24.
Simplify the expression
2
8
✕
2
8
✕
2
8
(i)
4
24
(ii)
2
23
(iii)
2
21
(iv)
2
24
(v)
2
25
Question
25
25.
Which of the following statements are true?
a)
x
m
x
n
=
x
m
n
b)
(
x
m
)
n
=
(
x
n
)
m
c)
a
0
=
1
(
a
≠
0)
d)
(
x
m
)
n
=
x
(
m
+
n
)
e)
a
.
x
m
=
a
m
.
x
m
f)
a
m
.
a
n
=
a
m
n
(i)
{e,f,b}
(ii)
{b,c}
(iii)
{d,c}
(iv)
{a,b}
(v)
{a,c,b}
Assignment Key
1) (v)
2) (ii)
3) (i)
4) (iii)
5) (i)
6) (iv)
7) (iv)
8) (iv)
9) (iv)
10) (iv)
11) (v)
12) (iv)
13) (v)
14) (iv)
15) (iii)
16) (v)
17) (v)
18) (ii)
19) (v)
20) (iv)
21) (iv)
22) (i)
23) (iv)
24) (iv)
25) (ii)
