EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Powers and Roots
Grade : ICSE Grade VI
License : Non Commercial Use
Question
1
1.
The
base
in the term
7
9
is
(i)
9
(ii)
7
(iii)
-9
(iv)
-7
(v)
5
Question
2
2.
Find the exponential notation of
5
✕
5
✕
5
✕
5
✕
5
✕
5
(i)
5
7
(ii)
7
6
(iii)
2
6
(iv)
5
5
(v)
5
6
Question
3
3.
The
exponent
in the term
6
(
9
8
)
is
(i)
(
-9
8
)
(ii)
9
8
(iii)
6
(iv)
3
(v)
-6
Question
4
4.
Find the exponential notation of
(
-17
14
)
✕
(
-17
14
)
✕
(
-17
14
)
✕
(
-17
14
)
✕
(
-17
14
)
✕
(
-17
14
)
(i)
6
(
-15
14
)
(ii)
7
(
-17
14
)
(iii)
5
(
-17
14
)
(iv)
6
(
-17
14
)
(v)
6
(
-19
14
)
Question
5
5.
Find the
square root
of
1
4
(i)
(
-1
2
)
(ii)
3
2
(iii)
1
2
(iv)
1
(v)
1
4
Question
6
6.
3
√
1
8
=
(i)
3
2
(ii)
1
(iii)
1
2
(iv)
(
-1
2
)
(v)
1
4
Question
7
7.
Simplify the expression
(-2)
7
✕
(-7)
7
(i)
11
7
(ii)
17
7
(iii)
14
7
(iv)
14
6
(v)
14
8
Question
8
8.
Find the cube root of
729
(i)
6
(ii)
84
(iii)
12
(iv)
9
(v)
81
Question
9
9.
Expand the following base power
(-4)
3
(i)
-64
(ii)
-216
(iii)
16
(iv)
256
(v)
-1
Question
10
10.
The
power
in the term
7
4
is
(i)
4
(ii)
-7
(iii)
-4
(iv)
1
(v)
7
Question
11
11.
Find the exponential notation of
(
-7
2
)
✕
(
-7
2
)
✕
(
-7
2
)
✕
(
-7
2
)
✕
(
-7
2
)
✕
(
-7
2
)
✕
(
-7
2
)
(i)
7
(
-5
2
)
(ii)
7
(
-9
2
)
(iii)
6
(
-7
2
)
(iv)
7
(
-7
2
)
(v)
8
(
-7
2
)
Question
12
12.
Simplify
3
√
512
+
3
√
729
3
√
343
−
3
√
27
=
(i)
17
6
(ii)
19
4
(iii)
17
4
(iv)
15
4
(v)
17
2
Question
13
13.
Simplify the expression
2
7
✕
3
7
✕
5
7
(i)
30
6
(ii)
30
7
(iii)
33
7
(iv)
30
8
(v)
27
7
Question
14
14.
The
exponent
in the term
6
8
is
(i)
8
(ii)
6
(iii)
-8
(iv)
-6
Question
15
15.
The
base
in the term
3
(
6
5
)
is
(i)
-3
(ii)
(
-6
5
)
(iii)
3
(iv)
4
5
(v)
6
5
Question
16
16.
0
1
=
(i)
0
(ii)
1
(iii)
-1
(iv)
undefined
(v)
∞
Question
17
17.
Find the prime factorization of
2268
(i)
2
2
✕
3
4
✕
5
(ii)
2
3
✕
3
4
✕
7
(iii)
2
2
✕
3
4
✕
7
(iv)
2
2
✕
3
4
✕
6
(v)
2
2
✕
3
4
✕
9
Question
18
18.
Simplify the expression
(-4)
6
✕
(-4)
6
✕
(-4)
6
(i)
(-4)
17
(ii)
(-4)
19
(iii)
(-4)
18
(iv)
(-6)
18
(v)
(-2)
18
Question
19
19.
Find the cube of
24
(i)
13821
(ii)
576
(iii)
13824
(iv)
13827
(v)
579
Question
20
20.
Simplify the expression
5
3
✕
5
3
(i)
5
6
(ii)
7
6
(iii)
5
7
(iv)
5
5
(v)
2
6
Question
21
21.
Find the prime factorization of
57600
(i)
2
8
✕
3
2
✕
5
2
(ii)
2
8
✕
3
-1
✕
5
2
(iii)
2
8
✕
6
2
✕
5
2
(iv)
2
7
✕
3
2
✕
5
2
(v)
2
8
✕
3
3
✕
5
2
Question
22
22.
Simplify the expression
(
9
7
)
(-6)
✕
(
9
7
)
(-9)
(i)
54
(ii)
(
9
7
)
57
(iii)
(
9
7
)
51
(iv)
(
9
5
)
54
(v)
(
9
7
)
54
Question
23
23.
√
121
64
=
(i)
11
10
(ii)
13
8
(iii)
11
8
(iv)
9
8
(v)
11
6
Question
24
24.
Simplify the expression
9
2
✕
9
5
✕
9
5
(i)
11
12
(ii)
9
13
(iii)
9
12
(iv)
6
12
(v)
9
11
Question
25
25.
-1
10
=
(i)
0
(ii)
undefined
(iii)
-1
(iv)
∞
(v)
1
Assignment Key
1) (ii)
2) (v)
3) (iii)
4) (iv)
5) (iii)
6) (iii)
7) (iii)
8) (iv)
9) (i)
10) (i)
11) (iv)
12) (iii)
13) (ii)
14) (i)
15) (v)
16) (i)
17) (iii)
18) (iii)
19) (iii)
20) (i)
21) (i)
22) (v)
23) (iii)
24) (iii)
25) (v)
