EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Powers and Roots
Grade : ICSE Grade VI
License : Non Commercial Use
Question
1
1.
0
4
=
(i)
∞
(ii)
-1
(iii)
undefined
(iv)
1
(v)
0
Question
2
2.
Find the exponential notation of
17
11
✕
17
11
✕
17
11
✕
17
11
✕
17
11
✕
17
11
✕
17
11
(i)
7
(
19
11
)
(ii)
7
(
17
11
)
(iii)
6
(
17
11
)
(iv)
8
(
17
11
)
(v)
7
(
15
11
)
Question
3
3.
Simplify the expression
2
6
✕
2
6
✕
2
7
(i)
(-1)
19
(ii)
2
18
(iii)
2
19
(iv)
5
19
(v)
2
20
Question
4
4.
Simplify the expression
(-6)
8
✕
(-2)
8
(i)
12
7
(ii)
10
8
(iii)
12
8
(iv)
12
9
(v)
15
8
Question
5
5.
Find the exponential notation of
(
-17
10
)
✕
(
-17
10
)
✕
(
-17
10
)
✕
(
-17
10
)
✕
(
-17
10
)
✕
(
-17
10
)
(i)
5
(
-17
10
)
(ii)
7
(
-17
10
)
(iii)
6
(
-17
10
)
(iv)
6
(
-19
10
)
(v)
6
(
-3
2
)
Question
6
6.
The
power
in the term
9
(
9
5
)
is
(i)
7
(ii)
-9
(iii)
9
(iv)
(
-9
5
)
(v)
9
5
Question
7
7.
Simplify the expression
5
4
✕
2
4
(i)
10
4
(ii)
10
3
(iii)
8
4
(iv)
12
4
(v)
10
5
Question
8
8.
Find the exponential notation of
-16
✕
-16
✕
-16
✕
-16
✕
-16
✕
-16
(i)
(-13)
6
(ii)
(-19)
6
(iii)
(-16)
7
(iv)
(-16)
6
(v)
(-16)
5
Question
9
9.
Find the
cube root
of
27
64
(i)
1
4
(ii)
1
2
(iii)
3
2
(iv)
3
4
(v)
5
4
Question
10
10.
Simplify the expression
(-4)
2
✕
(-4)
3
✕
(-4)
2
(i)
(-4)
7
(ii)
(-6)
7
(iii)
(-1)
7
(iv)
(-4)
6
(v)
(-4)
8
Question
11
11.
Expand the following base power
(-3)
4
(i)
625
(ii)
-27
(iii)
1
(iv)
81
(v)
-243
Question
12
12.
Find the
cube root
of
-64
(i)
-5
(ii)
-4
(iii)
-3
(iv)
-7
(v)
-1
Question
13
13.
Find the cube of
29
(i)
24392
(ii)
841
(iii)
844
(iv)
24389
(v)
24386
Question
14
14.
Find the prime factorization of
5600
(i)
2
5
✕
5
3
✕
7
(ii)
2
5
✕
5
2
✕
6
(iii)
2
5
✕
5
2
✕
7
(iv)
2
5
✕
5
2
✕
9
(v)
2
5
✕
3
2
✕
7
Question
15
15.
Simplify the expression
5
2
✕
5
2
✕
5
2
(i)
5
7
(ii)
5
6
(iii)
2
6
(iv)
7
6
(v)
5
5
Question
16
16.
Find the
square root
of
4
(i)
-1
(ii)
3
(iii)
5
(iv)
2
(v)
1
Question
17
17.
-1
8
=
(i)
∞
(ii)
undefined
(iii)
1
(iv)
-1
(v)
0
Question
18
18.
Simplify
3
√
729
+
3
√
1000
3
√
8
−
3
√
216
=
(i)
(
-21
4
)
(ii)
(
-19
6
)
(iii)
(
-19
2
)
(iv)
(
-19
4
)
(v)
(
-17
4
)
Question
19
19.
Expand the following base power
3
4
(i)
81
(ii)
243
(iii)
27
(iv)
9
(v)
625
Question
20
20.
The
exponent
in the term
7
8
is
(i)
-8
(ii)
-7
(iii)
6
(iv)
8
(v)
7
Question
21
21.
Simplify the expression
(-4)
5
✕
(-4)
7
✕
(-4)
5
(i)
(-4)
16
(ii)
(-7)
17
(iii)
(-4)
18
(iv)
(-2)
17
(v)
(-4)
17
Question
22
22.
The
base
in the term
2
6
is
(i)
-1
(ii)
2
(iii)
-6
(iv)
-2
(v)
6
Question
23
23.
The
power
in the term
5
2
is
(i)
5
(ii)
-5
(iii)
-2
(iv)
2
(v)
0
Question
24
24.
Simplify
√
9
−
√
16
√
64
+
√
49
=
(i)
(
-1
17
)
(ii)
(
-1
13
)
(iii)
1
15
(iv)
(
-1
5
)
(v)
(
-1
15
)
Question
25
25.
5
0
=
(i)
0
(ii)
∞
(iii)
undefined
(iv)
-1
(v)
1
Assignment Key
1) (v)
2) (ii)
3) (iii)
4) (iii)
5) (iii)
6) (iii)
7) (i)
8) (iv)
9) (iv)
10) (i)
11) (iv)
12) (ii)
13) (iv)
14) (iii)
15) (ii)
16) (iv)
17) (iii)
18) (iv)
19) (i)
20) (iv)
21) (v)
22) (ii)
23) (iv)
24) (v)
25) (v)
