Module-1 Algebra - Mathematics Secondary Course - Exponents And Radicals Worksheet Page 14
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
2. Express as a power of rational number with positive exponent:
4
⎡
−
⎤
3
−
⎛
⎞
4
⎛
⎞
3
3
⎜
⎟
⎢
⎥
⎜
⎟
Notes
−
×
(i)
(ii)
(iii)
5
3
12
12
⎝
⎠
⎢
⎥
⎝
⎠
13
⎣
⎦
7
3. Express as a power of a rational number with negative index:
5
⎡
⎤
2
⎛
⎞
4
⎛
⎞
3
[ ]
3
−
⎜
⎟
⎢
⎥
( )
⎜
⎟
5
2
(i)
(ii)
(iii)
7
⎝
⎠
⎢
⎥
⎝
⎠
4
7
⎣
⎦
4. Simplify:
−
−
−
−
3
7
3
4
4
7
⎛
⎞
⎛
⎞
⎛
⎞
⎛
⎞
⎛
⎞
⎛
⎞
3
3
2
2
7
7
×
−
×
−
−
÷
−
⎜
⎟
⎜
⎟
⎜
⎟
⎜
⎟
⎜
⎟
⎜
⎟
(i)
(ii)
(iii)
⎝
⎠
⎝
⎠
⎝
⎠
⎝
⎠
⎝
⎠
⎝
⎠
2
2
3
3
5
5
5. Which of the following statements are true?
–m
n
–m–n
(i) a
× a
= a
–m
n
–mn
(ii) (a
)
= a
m
m
m
(iii) a
× b
= (ab)
m
⎛
⎞
a
÷
=
m
m
⎜
⎟
a
b
(iv)
⎝
⎠
b
–m
o
m
(v) a
× a
= a
p/q
2.6 MEANING OF a
You have seen that for all integral values of m and n,
m
n
m+n
a
× a
= a
1/q
What is the method of defining a
, if a is positive rational number and q is a natural
number.
Consider the multiplication
1
1
1
1
1
1
1
+
+
+
.....q tim
es
×
×
×
=
q
q
q
q
q
q
q
a
a
a
........
a
a
q times
q
=
=
q
a
a
52
Mathematics Secondary Course
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education