Page 122 - Mathematics_Form_Two

Exponents and radicals

x
(d) 9 − 4 x 19. Given that uv+ 5 = 31 ,
(e) 4 − x 14 2 x 6 + 5
( ) 49+
where u and v are integers, find the

(f) 25 − x 4 5 x value of u and v without using a
( ) 4+
calculator.
17. Without using a calculator, solve for x 20. Simplify each of the following
FOR ONLINE READING ONLY
in each of the following equations.
Mathematics for Secondary Schools (a) 4 x+ 1 x 3 2 = =  x 12x− x− 2 (a) ( 4xy− 2xy 3 15 4 ) 3
expressions:
x
1

8

7
25
5
2xy
(b)
)
2
125
5
x−
3
(8xy
(b)
27
2x+
3
2
(c)
3
−
3 x
2x
6
x
1
(d) 4 9  = = 324 (c) ( 5xy− 5y 8 3 ) 2

3
 2 3 3
18. Show that: (d) ( 5xy− )
( 2 × x 3 2 )( 42× 3 x− ) 24 4 2 ) 2
(a) = ( 4xy−
62× x+ 1 2 x (e) 3y 4
 5  2 ( 4xy ) 3
4
+
(b)   ( 1+ 2 )  = 3 22 (f)
 5  3y 4

116
Student's Book Form Two

11/10/2024 20:12:44
MATHEMATIC F2 v5.indd 116
MATHEMATIC F2 v5.indd 116 11/10/2024 20:12:44