EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Powers and Roots
Grade : ICSE Grade VI
License : Non Commercial Use
Question
1
1.
Simplify
3
√
8
+
3
√
1728
3
√
125
−
3
√
512
=
(i)
(
-14
3
)
(ii)
-4
(iii)
(
-16
3
)
(iv)
(
-14
5
)
(v)
-14
Question
2
2.
Find the
cube root
of
-8
(i)
-4
(ii)
-3
(iii)
-1
(iv)
1
(v)
-2
Question
3
3.
The
base
in the term
2
5
is
(i)
-2
(ii)
0
(iii)
2
(iv)
5
(v)
-5
Question
4
4.
Simplify the expression
3
8
✕
3
8
(i)
1
(ii)
3
16
(iii)
6
16
(iv)
3
17
(v)
3
15
Question
5
5.
The
exponent
in the term
9
2
is
(i)
-9
(ii)
9
(iii)
2
(iv)
-1
(v)
-2
Question
6
6.
-8
0
=
(i)
∞
(ii)
0
(iii)
1
(iv)
-1
(v)
undefined
Question
7
7.
Find the exponential notation of
-2
✕
-2
✕
-2
✕
-2
(i)
(-2)
5
(ii)
(-2)
3
(iii)
(-4)
4
(iv)
(-2)
4
(v)
(-2)
7
Question
8
8.
Simplify the expression
3
(
-3
4
)
✕
3
(
-3
4
)
(i)
5
(
-3
4
)
(ii)
6
(
-5
4
)
(iii)
6
(
-1
4
)
(iv)
6
(
-3
4
)
(v)
7
(
-3
4
)
Question
9
9.
Find the
square root
of
25
(i)
8
(ii)
3
(iii)
5
(iv)
6
(v)
4
Question
10
10.
Simplify the expression
(-5)
5
✕
(-5)
5
✕
(-5)
5
(i)
(-5)
15
(ii)
(-2)
15
(iii)
(-7)
15
(iv)
(-5)
14
(v)
(-5)
16
Question
11
11.
3
√
1
64
=
(i)
(
-1
4
)
(ii)
1
2
(iii)
1
4
(iv)
3
4
(v)
1
6
Question
12
12.
Find the exponential notation of
(
-19
16
)
✕
(
-19
16
)
✕
(
-19
16
)
✕
(
-19
16
)
✕
(
-19
16
)
✕
(
-19
16
)
✕
(
-19
16
)
(i)
7
(
-19
16
)
(ii)
7
(
-17
16
)
(iii)
7
(
-21
16
)
(iv)
8
(
-19
16
)
(v)
6
(
-19
16
)
Question
13
13.
Find the prime factorization of
10000
(i)
2
5
✕
5
4
(ii)
(-1)
4
✕
5
4
(iii)
2
4
✕
5
4
(iv)
2
4
✕
5
3
(v)
2
4
✕
8
4
Question
14
14.
Find the exponential notation of
15
11
✕
15
11
✕
15
11
✕
15
11
✕
15
11
(i)
5
(
15
11
)
(ii)
4
(
15
11
)
(iii)
5
(
17
11
)
(iv)
6
(
15
11
)
(v)
5
(
13
11
)
Question
15
15.
Expand the following base power
(-4)
3
(i)
-64
(ii)
256
(iii)
16
(iv)
-216
(v)
-1
Question
16
16.
Find the
cube root
of
27
125
(i)
1
5
(ii)
1
(iii)
3
5
(iv)
3
7
Question
17
17.
0
0
=
(i)
-1
(ii)
0
(iii)
∞
(iv)
1
(v)
undefined
Question
18
18.
Simplify the expression
4
2
✕
4
7
✕
4
2
(i)
4
11
(ii)
4
10
(iii)
7
11
(iv)
1
(v)
4
12
Question
19
19.
The
exponent
in the term
7
(
7
4
)
is
(i)
5
(ii)
7
(iii)
-7
(iv)
7
4
(v)
(
-7
4
)
Question
20
20.
Simplify the expression
7
7
✕
3
7
(i)
21
8
(ii)
21
7
(iii)
21
6
(iv)
23
7
(v)
19
7
Question
21
21.
Find the
square root
of
4
9
(i)
4
3
(ii)
2
5
(iii)
2
(iv)
0
(v)
2
3
Question
22
22.
Simplify the expression
(-6)
7
✕
(-6)
2
✕
(-6)
2
(i)
(-6)
10
(ii)
(-6)
11
(iii)
(-6)
12
(iv)
(-8)
11
(v)
(-4)
11
Question
23
23.
Find the exponential notation of
17
✕
17
✕
17
(i)
17
2
(ii)
17
4
(iii)
17
3
(iv)
20
3
(v)
15
3
Question
24
24.
The
power
in the term
3
(
7
2
)
is
(i)
0
(ii)
-3
(iii)
3
(iv)
7
2
(v)
(
-7
2
)
Question
25
25.
Expand the following base power
3
4
(i)
27
(ii)
9
(iii)
81
(iv)
243
(v)
1296
Assignment Key
1) (i)
2) (v)
3) (iii)
4) (ii)
5) (iii)
6) (iii)
7) (iv)
8) (iv)
9) (iii)
10) (i)
11) (iii)
12) (i)
13) (iii)
14) (i)
15) (i)
16) (iii)
17) (v)
18) (i)
19) (ii)
20) (ii)
21) (v)
22) (ii)
23) (iii)
24) (iii)
25) (iii)
