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CHAPTER Indices Mathematics Form 3 Chapter 1 Indices 9. (a) 8 = 8 = 2 (b) 2 × 8 × 32 –2n 5 –2n
Mathematics Form 3 Chapter 1 Indices
2n
4n
1
1
3
3
4n

= 2 × (2 ) × (2 )
3 2n
–10n
6n
4n
Indeks
1
= 2
4n + 6n – 10n
4
4
(b) 16 = 16 = 2 = 2 × 2 × 2
= 2 0
= 1
3
3
4
(c) 16 = (16) = 8
4
1. (a) False 5 2 10 7 3 1 1 1
(b) True 5. (a) 3 ÷ 3 3 3 3 2 (c) 2 × 5 × 10 2
2
2
2
(c) False 5 3 2 15 8 (d) 216 = (216) = 36 1 1 1
3
3

2
2
(d) True (b) 7 ÷ 7 7 7 7 = 2 × 5 × (2 × 5) 2
1
+
(e) False 1 2 2 1 2 2 1
+
(c) 2 ÷ 2 3 2 11 2 5 8 24 (e) 3 = 1 = 1 = 2 × 5
8
–3
2. (a) 2 4 27 3 3 27 = 2 × 5
(d) m ÷ m 8 m 17 m 2 m = 10
9
1
1
–4
(b)   2 729 (e) h ÷ h 4 h 16 h 8 h 3 (f) 2 = 2 1 4 = 16
12
8
– 1 3
64 3 × 9 2
(c) 3 3 1 0 (d) 4 –3
64 6. (a) ✓ (g) (–9) = 1 1 3
(b) ✗ (4 ) – 3 × (3 )
2 2
3
(d) 9 16 (c) ✗ 0 = 4 –3
3
1
(d) ✓ (h)   = 1 1 3
4
(e) 5 625 10 3 × – – (–3) 2 × 2
3
(e) ✗ = 4 × 3
= 4 × 3 3
2
3. (a) 125 = 5 × 5 × 5 = 5 3 × 3 8
3
–4
7. (a) (5 × 2) 2 10. (a) = 16 × 27
2
(b) 36 = 6 × 6 = 6 3 –3
= 5 × 2 2 –4 + 8 – (–3) = 432
2
(c) 1 000 000 = 10 × 10 × 10 × 10 × 10 × 10 (b) (6 × 2) 3 = 3
= 10 = 6 × 2 = 3 7 2
6
3
3
3
2 5
(d) 64 = 8 × 8 = 8 2 (c) (8 × 9 ) 2 × 5 12p q (e) 27 – 2 3 × 64 3
3 5
× 9
3 × 5
= 8

1
1
1
2 –4 –6
(e)   2 = 1 × =   2 = 8 × 9 10 (b) 2 p q 3 – –4 2 2
15
6
6
36
6
3
3 3
4
(d) (6 × 5 ) = 12 × p 3 – (–4 )q 5 – (–6) = (3 ) 3 × (4 )
5 4
3
4. (a) 2 × 2 = 6 4 × 4 × 5 5 × 4 4 3 –4
2
7 11
2
= 2 2 + 3 = 6 × 5 20 = 3p q = 3 3 × – – (–4) × 4 3 × 2 3
16
3
= 2 5 (e) (3 × 4 × 5) 3 = 3 × 4 2
2
3
2
(b) 6 × 6 = 3 3 × 3 × 4 2 × 3 × 5 1 × 3 (c) m n × m –3 = 9 × 16
9 –3
2
6
9
5 –2
= 6 1 + 2 = 3 × 4 × 5 3 m n = 144
n
= 6 3 = m 9 – 3 – 5 –3 – (–2)
4 2
5
8. (a) 3 × (3 ) ÷ 3 9 = mn –1
(c) 4 × 4 5 + 4 × 2 – 9
7
3
1
= 4 7 + 3 = 3 4 = m (f) 1 × (8 ) ÷ 8
3 2
= 4 10 = 3 n 8
(b) 8 × 8 ÷ (8 ) 1 1
3 2
3
7
4
(d) 5 × 5 7 + 3 – 3 × 2 3 – 1 – 3 = 8 – + 3 × – 1
8
2
2
2
2
= 5 8 + 4 = 8 4 11. (a) 3 × 5 × 15 2 – + – 1
1
3
2
2
= 5 12 = 8 3 2 – 1 2 – 3 2 = 8
5 2
(c) (m ) × (m ) ÷ (m ) = 3 × 5 × (3 × 5) = 8 0
3 4
2 8
7
6
(e) w × w 3 × 4 + 5 × 2 – 2 × 8 3 – 3 – – 3 = 1
1
= w 7 + 6 = m 12 + 10 – 16 = 3 2 2 × 5 2 2
0
= w 13 = m = 3 × 5 –2
= m 6 1
= 1 ×
5 2
= 25
1
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BOOKLET ANS MATH F3.indd 2 03/01/2020 10:20 AM