SOLUTION

Step 1: Write as a fraction and simplify

(0,008)

(^13)

(

8

1000

) (^13)

=

(

1

125

) (^13)

=

(

1

53

)^13

=

1

(^13)
5 (^3 :
1
3 )

1

5

VISIT:

Extension: the following video provides a summary of all the exponent rules and rational exponents.

See video:2F2Vatwww.everythingmaths.co.za

Exercise 2 – 2:

Simplify without using a calculator:

1.t

(^14)
 3 t
(^74)

2.

16 x^2

(4x^2 )

(^12)

3.(0,25)

(^12)

4.(27)

(^13)

5.

(

3 p^2

)^12



(

3 p^4

)^12

6. 12

(

a^4 b^8

)^12



(

512 a^3 b^3

)^13

7.

(

(2)^4 a^6 b^2

)^12

8.

(

a^2 b^6

) (^12)

9.

(

16 x^12 b^6

)^13

For more exercises, visit http://www.everythingmaths.co.za and click on ’Practise Maths’.

1.2F2W 2.2F2X 3.2F2Y 4.2F2Z 5.2F32 6.2F33

7.2F34 8.2F35 9.2F36

http://www.everythingmaths.co.za m.everythingmaths.co.za

Chapter 2. Exponents 51