Page 102 - Mathematics_Form_Two

Exponents and radicals

ab a 4 b 17 2 3 45 0
4 17
(b) = ´ (c) ( 2a b c− 2 − ) ( 3ab c )(xyz )
ab a 10 b 11 2 3
10 11
a = 4 10 17 11 = ( 2ac− 6 ) × ( 3ab c ) 1×
b
-
-
4 5
b
6 6
-
= a b − 2 × a × c ×× × 4 c 5
3
3
6
3 ab ×
(b) FOR ONLINE READING ONLY
æ = ç è b ö a 6 6 ÷ ø = −× 7 × b b × c 8
6
Mathematics for Secondary Schools Therefore, b ab = æö 6 . = − 2 × × b 2 1 b 6 − 7 2 − c 7 8 − 8
4
83 a×
=
6
æö
=
1
3
a ×
3
ç÷
= −
a
èø
b
ab
b
4 17
Therefore
ç÷
3
10 11
a
2 ×
a ×
c
3 ×
−
−
4 5
0
3
2 −2
Example 5�15 èø Therefore, (−2a b c) (3ab c )(xyz) =
−2
b
−
Simplify each of the following 2 ×3 ×a ×c −8
−1
−7
−3
expressions and give your answers in
negative exponents: Example 5�16
(a) 3 9 Find the reciprocal of each of the
3 16 following and simplify the answers:
(0.7 ) 6
(b) (a) 19 (b) 1 (c) 0.2
(0.7 ) 2 9 1
2
ab
3
45
(c) ( 2a b c− 2 − 2 ) ( 3ab c )(xyz ) 0 (d) 14 2 (e) ( ) 4 (f) 7 2
Solution (g) (0.25) − 2
Solution 1
(a) The reciprocal of 19 is .
1 19
(b) The reciprocal of is 9.
9
(c) The reciprocal of 0.2 is 1 = 10 = 5.
( ) 6 = (0.7 ) 62 2 0.2 2 1
0.7
1
-
( ) 2 (d) The reciprocal of 14 = 14 2 = 196 .
0.7
0.7
= ( ) 4 (e) The reciprocal of 1
1
4
ab
2
1 ( ) = =
48
= ( ) 4 ab
2
ab
( ) - 4 1 2
0.7
( ) 6 1 (f) The reciprocal of 7 2 = 7 = 49 .
0.7
Therefore, = (g) The reciprocal of
( ) 2 ( ) - 4 (0.25) = (0.25) = 0.0625.
0.7
0.7
2
−
2
96
Student's Book Form Two
11/10/2024 20:12:20
MATHEMATIC F2 v5.indd 96 11/10/2024 20:12:20
MATHEMATIC F2 v5.indd 96