Page 4 - Matematik Tg3_Praktis Topikal A+_Pan Asia Publications

3. Ungkapkan setiap nombor yang berikut dalam bentuk a dengan menggunakan asas yang diberi
n
di dalam kurungan. TP2
n
Express each of the following numbers in the form a by using the base given in the brackets.
Contoh (a) 64 (asas/base 4) (b) 4 096 (asas/base 8)

216 (asas/base 6) 4 64 8 4 096
4 16 8 512
6 216 4 4 8 64
6 36 1 8 8
©PAN ASIA PUBLICATIONS
6 6 Maka/Hence, 1
1 64 = 4 × 4 × 4 Maka/Hence,
Maka/Hence, 64 = 4 4 096 = 8 × 8 × 8 × 8
3
216 = 6 × 6 × 6 4 096 = 8
4
216 = 6 3

4. Tukarkan nombor dalam bentuk indeks yang berikut kepada suatu nombor tunggal. TP2
Convert the following numbers in index form to a single number.
Contoh (a) (–3) 4 (b) (–0.5) 5
= (–3) × (–3) × (–3) × (–3) = (–0.5) × (–0.5) × (–0.5)
3
7 = 7 × 7 × 7
3
7 = 343 = 81 × (–0.5) × (–0.5)
= – 0.03125

B.Teks: Ms 6 – 24 Ringkas
1.2 Hukum Indeks Nota

1. Hukum indeks: 2. Idea asas mengenai indeks:
Index law: Basic ideas on indices:

m
n
(a) a × a = a m + n (a) a = 1
0
n
(b) a ÷ a = a m – n (b) a = 1
–n
m
a n
1
(c) (a ) = a (c) a = 
mn
m n
a
n
n
m
(d) (ab) = a b (d) a =  = () m
a
n
n
m
n
n n
n
a
a
(e)   n = a n n dengan keadaan/where a ≠ 0, n ≠ 0
b
b
5. Permudahkan setiap yang berikut. TP2
Simplify each of the following.
Contoh (a) – 3 5 × – 3 4 (b) t × t × t 3
7
5
   
8 × 8 6 5 3 5 + 4 5 = t 5 + 7 + 3
3
15
= t
 
= 8 3 + 6 = – 5
= 8 9 9
 
= – 3
5
2