Module-1 Algebra - Mathematics Secondary Course - Exponents And Radicals Worksheet Page 5
ADVERTISEMENT
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37MODULE -
1
Exponents and Radicals
Algebra
5
Solution:
(i)
3
= 3 × 3 × 3 × 3 × 3
= 243
5
⎛
⎞
Notes
1
1
=
⎜
⎟
∴ Reciprocal of 3
5
=
⎝
⎠
243
3
2
⎛
⎞
2
3
3
⎜
⎟
(ii)
=
⎝
⎠
2
4
4
2
2
⎛
⎞
⎛
⎞
2
3
4
4
⎜
⎟
⎜
⎟
∴ Reciprocal of
=
=
⎝
⎠
⎝
⎠
2
4
3
3
( )
9
⎛
⎞
−
9
5
5
−
⎜
⎟
(iii)
=
⎝
⎠
9
6
6
9
9
−
⎛ −
⎛
⎞
9
⎞
5
6
6
−
=
⎜
⎟
⎜
⎟
∴ Reciprocal of
=
⎝
⎠
9
⎝
⎠
6
5
5
p
From the above example, we can say that if
is any non-zero rational number and m is
q
m
m
⎛
⎞
⎛
⎞
p
q
⎜ ⎜
⎟ ⎟
⎜ ⎜
⎟ ⎟
is
any positive integer, then the reciprocal of
.
⎝
⎠
⎝
⎠
q
p
CHECK YOUR PROGRESS 2.1
1. Write the following in exponential form:
(i) (–7) × (–7) × (–7) × (–7)
⎛
⎞
⎛
⎞
3
3
× ⎟
× ⎟
⎜
⎜
....
(ii)
10 times
⎝
⎠
⎝
⎠
4
4
⎛
⎞
⎛
⎞
5
5
−
× ⎟
−
× ⎟
⎜
⎜
....
(iii)
20 times
⎝
⎠
⎝
⎠
7
7
2. Write the base and exponent in each of the following:
Mathematics Secondary Course
43
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education