Page 114 - Mathematics_Form_Two

Exponents and radicals

´
´
(c) 65 23 = 65 23 = 3÷ ( 3 222×× × 3 222×× )
´
20 3 12 (45 ´ ) ( 43 )
´
3
´
= 3 ( 2 2)÷ ×
65 ´ 23 3
= =
25 ´ ´ 23 4
3
1 Example 5�35
FOR ONLINE READING ONLY
3
=
=
Mathematics for Secondary Schools Therefore, = 65 23´ 12 = 1. Simplify 3 22222××××

1

3
= 1

1
3 32
3
.
2401
3
20 3 21´
Solution
3
3 32
3
Example 5�34
×××
3
Simplify 27 ÷ 3 64 . 3 2401 = 3× 3 7 7 7 7 3 22×
3
222×× ×
=
Solution 3 777 × 3 7
××
Write the numbers under the radical 3 4
symbol as in products of prime factors as = 32××
follows: 7× 3 7
3
3 27 ÷ 3 64 = 3 3 3 3× × ÷ 3 222222××××× = 64
3
64 =
3 27 ÷ 3 3 3 3 3× × ÷ 3 222222××××× 77
Exercise 5�10
Simplify each of the following radical expressions:
50 75 12
1. 2. 3.
2 3 50
121
4. 5. 6.
44
27 35 3 216
7. 21 8. 45 9. 27
3 50 8 2 ´ 14×2 3
10. 11. 12. =
5 32 12 ´ 3 12 + 56

57 23´ 14 2 3´ 18´ 20 ´ 24
13. 45 ´ 21 14. 48´ 28 15. 8´ 30

108
Student's Book Form Two

11/10/2024 20:12:34
MATHEMATIC F2 v5.indd 108 11/10/2024 20:12:34
MATHEMATIC F2 v5.indd 108