Module-1 Algebra - Mathematics Secondary Course - Exponents And Radicals Worksheet Page 11
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37MODULE -
1
Exponents and Radicals
Algebra
0
⎛ −
⎞
3
⎜
⎟
0
(ii) Again using a
= 1, we get
= 1.
⎝
⎠
4
Notes
CHECK YOUR PROGRESS 2.3
1. Simplify and express the result in exponential form:
3
2
1
2
3
⎛
⎞
⎛
⎞
⎛
⎞
⎛
⎞
⎛
⎞
3
3
7
7
7
×
−
×
−
×
−
⎜
⎟
⎜
⎟
⎜
⎟
⎜
⎟
⎜
⎟
2
3
(i) (7)
×(7)
(ii)
(iii)
⎝
⎠
⎝
⎠
⎝
⎠
⎝
⎠
⎝
⎠
4
4
8
8
8
2. Simplify and express the result in exponential form:
8
2
18
3
⎛ −
⎛ −
⎛
⎞
⎛
⎞
⎞
⎞
3
3
7
7
( ) ( )
÷
÷
⎜
⎟
⎜
⎟
⎜
⎟
⎜
⎟
−
÷
−
9
7
(i)
(ii)
(iii)
7
7
⎝
⎠
⎝
⎠
⎝
⎠
⎝
⎠
4
4
3
3
3. Simplify and express the result in exponential form:
2
5
⎡
⎤
⎡
⎤
3
3
⎛
⎞
⎛
⎞
3
5
( )
−
⎜
⎟
⎜
⎟
⎢
⎥
⎢
⎥
3
(i)
6
(ii)
(iii)
2
⎝
⎠
⎝
⎠
⎢
⎥
⎢
⎥
4
9
⎣
⎦
⎣
⎦
5
0
0
3
⎛
⎞
⎛
⎞
⎛
⎞
⎛
⎞
11
15
7
7
×
−
×
−
⎜
⎟
⎜
⎟
⎜
⎟
⎜
⎟
(iv)
(v)
⎝
⎠
⎝
⎠
⎝
⎠
⎝
⎠
3
7
11
11
4. Which of the following statements are true?
5
2
7
⎛
⎞
⎛
⎞
⎛
⎞
3
3
3
×
=
⎜
⎟
⎜
⎟
⎜
⎟
3
3
6
(i) 7
× 7
= 7
(ii)
⎝
⎠
⎝
⎠
⎝
⎠
11
11
11
4
2
⎡
⎤
⎡
⎤
5
9
6
8
⎛
⎞
⎛
⎞
⎛
⎞
⎛
⎞
4
4
3
3
=
=
⎜
⎟
⎜
⎟
⎜
⎟
⎜
⎟
⎢
⎥
⎢
⎥
(iii)
(iv)
⎝
⎠
⎝
⎠
⎝
⎠
⎝
⎠
⎢
⎥
⎢
⎥
9
9
19
19
⎣
⎦
⎣
⎦
0
2
⎛
⎞
⎛
⎞
3
3
9
=
−
=
−
⎜
⎟
⎜
⎟
0
(v)
(vi)
⎝
⎠
⎝
⎠
11
2
4
5
0
5
⎛
⎞
⎛
⎞
⎛
⎞
8
7
8
×
=
⎜
⎟
⎜
⎟
⎜
⎟
(vii)
⎝
⎠
⎝
⎠
⎝
⎠
15
6
15
Mathematics Secondary Course
49
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