Cambridge International Mathematics

130 Exponents and surds (Chapter 6)

Example 10 Self Tutor

Simplify, giving answers in simplest rational form:

a 70 b 3 ¡^2 c 30 ¡ 3 ¡^1 d

¡ 5

3

¢¡ 2

a 70 =1 b 3 ¡^2 =

1

32

=^19

c 30 ¡ 3 ¡^1 =1¡^13 =^23 d

¡ 5

3

¢¡ 2

=

¡ 3

5

¢ 2

= 259

EXERCISE 6C

1 Simplify, giving answers in simplest rational form:

a 30 b 6 ¡^1 c 4 ¡^1 d 50

e 32 f 3 ¡^2 g 53 h 5 ¡^3

i 72 j 7 ¡^2 k 103 l 10 ¡^3

2 Simplify, giving answers in simplest rational form:

a (^12 )^0 b

54

54

c 2 t^0 d (2t)^0

e 70 f 3 £ 40 g

53

55

h

26

210

i (^14 )¡^1 j (^38 )¡^1 k (^23 )¡^1 l (^15 )¡^1

m 20 +2^1 n 50 ¡ 5 ¡^1 o 30 +3^1 ¡ 3 ¡^1 p (^13 )¡^2

q (^23 )¡^3 r (1^12 )¡^3 s (^45 )¡^2 t (2^12 )¡^2

3 Write the following without brackets or negative indices:

a (3b)¡^1 b 3 b¡^1 c 7 a¡^1 d (7a)¡^1

e

μ

1

t

¶¡ 2

f (4t)¡^2 g (5t)¡^2 h (5t¡^2 )¡^1

i xy¡^1 j (xy)¡^1 k xy¡^3 l (xy)¡^3

m (3pq)¡^1 n 3(pq)¡^1 o 3 pq¡^1 p

(xy)^3

y¡^2

4 Write as powers of 2 , 3 or 5 :

a 25 b 251 c 27 d 271

e 16 f 161 g^23 h^35

i 1259 j^3281 k 225 l (^938)
5 Write as powers of 10 :
a 1000 b 0 : 01 c 100 000 d 0 :000 001
IGCSE01
cyan magenta yellow black
(^05255075950525507595)
100 100
(^05255075950525507595)
100 100
Y:\HAESE\IGCSE01\IG01_06\130IGCSE01_06.CDR Monday, 15 September 2008 2:38:27 PM PETER