Page 47 - MATHEMATICS COURSE FOR SECONDARY SCHOOLS BOOK 2

EXERCISE 2.2
EXAMPLE 5
Simplify each of the following: (a) 8 23 (b) 16- 34
222
(c) 8 3 = (23) 3 = 23􏰀 3 = 22 = 4
(b)16- 3 = (24)- 3 = 24x(- 3 )= 2-3 = 1 = 1 4 4 4 23 8
EXERCISE 2.3
Evaluate each of the following:
FRACTIONAL INDICES
12 )2 = a 12 X2 =a1 = a 12 )2 = ( a )2 = a
12 = 3 a
13 )3 = a 13 X3 =a1 = a
(a)27 43
(c)6423
(b) 273
(d) 34313
(b) 3235
(d) 8134 14
1. 2. 3. 4. 5. 6. 7.
11 (a) 25 2 (b) 36 2
11 (c) 49 2 (d) 642 11
(a) 83
(c) 6413
• (a and (a 1 a
(a and (a 1a
(a) 16- 4 (b) 125- 3 21
. .. a 1 = x m a m
am = xm am So 714 =x4 7
And 523 =3 52
(b) 9- 2 2
)3 = (3 13 =3a
a )3 = a
2
(d) 256- 4 1
41
(c) 27- 3 (d) 196- 2 22
(a) 27-3 (c)125- 3
1 (a) 4-2
3 (c) 16-4
3 (a) 42
3 (c) 25- 2
(b) 216-3 3
(d) 8-3
1
(b) 1000-3
3 (d) 49 2