Indices@Indeks

3

Indices

Paper 1 1.

(e3)2 = e3 = e6

Answer:

2.

1 — 2 8

7.

2

×

p4 ––– 9

3 — 2

—

(9) 2 4

D

p6 = –––– (3)3 p6 = ––– 27

(h ) = h = h4

B

Answer: 3.

5

3

=

−

1 53

Answer:

4.

−

t

4 — 3

8.

(m2)4

×

= m2 4 × m = m8 + ( 2) = m6 ×

2

−

−

A

1 4 —

Answer:

9.

( p p3)4

÷

p5 = p3 4 ÷ p5 = p12 5 = p7

D

1 — 4 2

1 — 2

4

= �� 9 (n = 3 n2

×

10.

1 — 2

)

( x x4)2 = x2n x4 2 = x2n x8 = x2n ∴ 8 = 2 n n = 4 ×

C

Answer: 2 — 3 3

2 — 3

B

2 — 3 3

(8 x ) = (8) ( x ) = ( 3�� 8 )2( x x 2 2 = (2) ( x x ) = 4 x2

Answer:

C

1 — 4 2

(9n ) = (9) (n )

Answer:

×

−

Answer:

6.

2

−

B

t 3 1 = –––– 3�� t4 t

5.

D

m

Answer: =

3 —

×

p 2 = –––––– (�� 9 )3

1 — × 8 2

Answer:

3 —

( p p4) 2 = ––––– 3

3

×

2 — 3

)

11.

3 2 × 27 3 2 × 3 3 3 2+3 31 ∴ m −

−

−

D

Answer:

1

= 3m = 3m = 3m = 3m =1 C

©

Penerbitan Pelangi Sdn. Bhd.

Mathematics

12.

(2q3)2 × 3 q

4

−

SPM

Chapter 3

= (2 q3)(2q3) × 3 q 4 = 2 × 2 × 3 × q3 + 3 + ( = 12q2

1 —

−

4)

−

4.

(16m4) 4 –––––––– 2n 4

Answer: 13.

3

×

) ÷ 4 e

=

1

(5

−

3 ) = (5 1)2 × (3 = 5 2 × 3 1 1 = ––– × 3 52 3 = ––– 25

×

1 — 4

m3n4

×

n4 – 1

×

Answer:

−

1 — × 2 2

5.

)

−

Answer:

4

C

D

1 — 2 2

×

2m 2n

= m1 + 3 = m4n3

−

14.

1 — 4

2 m 3 4 =    × m n 2n

C

(2e2)3 ÷ 4 e = (2)3(e2 8e6 = –––1 4e = 2e6 1 = 2e5

Answer:

×

m3n4

×

p3 p3q –3 = 4q3 4 Answer:

C

5 —

6.

n4   n × ––––– 1 —

C

n4 1 —

= n2

5 —

n4

×

×

1 – — 4

n

1 5 1 — + — + (– —) 4 4

= n2

3 —

= n2

Paper 1 1.

Answer:

1 – — 2

1 =6 t n

1 – — 2

1 = 6, n = t = 2

∴

Answer: (h4k 3) –1 h2k –5 h – 4k –3 = h2k –5 = h – 4 2 k = h –6k 2 −

Answer:

3.

3 — 5

20

–5

=

� �

=

� �

=

� �

B

2 3 2 3 3 2

–5

1 — 2

5 – — 2

5 — 2

Answer:

C

3 − ( −5)

5 —

D

(2a3 × 3 b 2 )2 8. ––––––––––– a2b3 5 —× 2

22a3 2 × 3 2b 2 = –––––––––––––– a2b3 ×

y = x 20

3 —

y — x

=

x = 5, y = 3

Answer:

4a6 × 9 b5 a2b3

= 36a6 – 2 b5 – 3 = 36a4b2

A

Answer:

©

×

−

20 5 = 20 ∴

� � 2 3

7.

t –n = 6

2.

C


2

C

Mathematics

9.

(n3)5 ÷ n7 = n3 5 ÷ n7 = n15 ÷ n7 = n15 7 = n8

2.

×

10.

×

×

−

−

A

Answer:

16 2 x = ––– 23 x 24 2 x = ––– 23 x 2 x = 2 4 3 x ∴ x = 4 − 3 x x + 3 x = 4 4 x = 4 x=1

3.

(3h 2k )3 −

1 — h2k 1 3 −

×

= (3 3h 2 3k 1 3) × 3 1h2k 1 = 3 3 + ( 1)h 6k 3 × h2k 1 = 3 2h 6 + 2 k 3 + ( 1) = 9 h 4k 2 −

×

−

−

×

−

−

−

−

Answer:

B

D

2m3n –––––––– (3mn 2)2 −

2m3n = ––––––––––– 32m1 2n 2 2 2m3n = –––––– 9m2n 4

1 – — 2

6

×

1 = –––– 1 —

−

×

−

62

2m3 2n1 ( 4) = ––––––––––– 9 2mn5 = ––––– 9 Answer: C −

D

Answer: 1 —

12.

−

−

−

4.

11.

−

−

C

Answer:

Chapter 3

(2t 3m)2 × 5 t 2 = (2 2t 3 2m1 2) × 5 t 2 = 4 t 6m2 × 5 t 2 = 20t 6 + 2 m2 = 20t 4m2 −

−

Answer:

SPM

42 × 3 2 ––––––– 62

4

−

−

1 — × 4 2

2 × 4

× 3 4 = ––––––––––– 62 4 8 4 × 3 2 –––––– = 68 (22)8 × 3 2 = –––––––– (2 × 3) 8 ×

16

5.

−

−

×

×

−

−

−

−

−

−

2

2 × 3 = ––––––– 28 × 3 8 = 2 16 8 × 3 2 = 2 8 × 3 6

(ef 4)2 ÷ e 3 f 9 = ( e1 2 f 4 2) ÷ e 3 f 9 = e2 f 8 ÷ e 3 f 9 = e2 ( 3) f 8 9 = e5 f 1

Answer:

A

8

−

−

6.

B

Answer:

( x x 2 y3)3 × x7 y2 = ( x 2 3 y3 3) × x7 y2 = x 6 y9 × x7 y2 = x 6 + 7 y9 + 2 = xy11 −

−

×

×

−

−

Answer:

Paper 1 1.

5 —

1 —

h4

4 —

( h 4

k 3 )3

×

×

5 — 4

1 4 — × 3 — × 3 4 3

=h

5 — 4

=h

( h

× ×

k

7.

=h = h2k 4

Answer:

×

1 —

(2 p2q 3 )3

)

×

p3q

4

−

1 — × 3

= (2 3 p2 3q 3 ) = 8 p6q1 × p3q 4 = 8 p6 + 3 q1 + ( 4) = 8 p9q 3

3 — 4 4

×

h k

5 3 —+— 4 4

C

×

p3q

4

−

−

−

k 4

−

Answer:

D

3

B

©


Mathematics

8.

1 —

(27m3n9) 3 1 — 3

3

SPM

9 m2n

1

13.

−

÷

1 — 9 3

×

Chapter 3

1 — 3

×

= (27 m ) ÷ 9 m2n n = 3 m1n3 ÷ 9 m2n 1

1

−

6

−

×

−

4

3)

−

×

1 — 3

4

−

3 1

×

−

−

−

−

−

−

C

Answer:

×

= (27 × 2 ) × 2 = 3 1 × 2 2 × 2 4 × 3 1 = 3 1 + 1 × 2 2 + ( 4) = 3 2 × 2 6 32 = ––– 26 9 = ––– 64

3m1 2n3 ( 1) ––––––––––– = 9 1 4 m n = ––––– 3 −

(2

−

1 — 3

−

−

1 —

(27 × 2 6) 3

1 —

B

Answer:

3g × (16 h6) 2 9. ––––––––––– 1 —

(g9h –3) 3

1 — 6 2

×

1 — 2

3g × 16 h = –––––––––––– 1 1 9

— 3

×

g

3

−

h

×

14.

— 3

10.

−

−

D

1 —

= ( x 6

2 — 3

= x y

1 — × 2 3

÷

2

) ÷ ( x

x y

2 — 6 − 2 3

= x y = x4 y 1

−

6

×

1 — 5 3

y

×

1 — 3

) 15.

5 — 3

5 — 3

C

1 — 4 2

5 )

×

5 — 2

5 —

×

1 — 2

3

×

5

4

3 — 4

×

3

−

3 —

) × 3 4

3 —

5 2 × 3 4

5

×

×

5

×

÷

h2 ––– k 1 — × 2

= (2 2h 1 2k 2 ) ÷ ( h2k 1) = 4 h 2k 1 ÷ h2k 1 = 4 h 2 2k 1 ( 1) = 4 h 4k 2 ×

−

−

Answer:

−

−

3

−

3)

−

A

−

−

Answer:

16.

A

1 —

(9 × 2 6) 2

(2

−

1 —

÷

6

−

×

5

−

3 4)

×

1 —

2 = (9 2 × 2 ) ÷ (2 5 × 3 4) = (3 1 × 2 3) ÷ (2 5 × 3 4) = 3 1 4 × 2 3 ( 5) = 3 3 × 2 2 22 = ––– 33 4 = ––– 27 −

12.

1 — 2 −4

1 —

−

(2 3 × 3 5)

(16 × 3 )

−

÷

4

−

×

−

1 —

2 = (16 2 × 3 ) ÷ (2 3 × 3 5) = (2 2 × 3 2) ÷ (2 3 × 3 5) = 2 2 3 × 3 2 ( 5) = 2 1 × 3 3 33 = ––– 21 27 = ––– 2 −

−

−

−

−

−

−

−

−

Answer:

©

Answer:

A


−

−

4

C

−

−

3

−

−

1 —

−

5

×

1 — 2

×

2+( × 5 =3 = 3 2 × 5 1 32 = ––– 51 9 = –– 5

C

−

56 ––– 24

−

5 3 —+— 4 4

(2h 1k 2 )2

−

(3

= 34

Answer:

−

5 — 2

= (3

−

11.

−

Answer:

1 —

y

÷

−

( x x3 y 3 )2 ÷ ( x6 y5) 3 3 × 2

5 3)

×

−

−

Answer:

1 — × 3 3

56 ––– 24

÷

= (2 2 × 5 3) ÷ (5 6 × 2 4) = 2 2 ( 4) × 5 3 6 = 2 6 × 5 3 26 = ––– 53 64 = –––– 125

( −1)

−

5) 3

×

= (4

3g × 4 h3 = –––––––– g3h –1 = 12g1 3 h3 = 12g 2h4 12h4 = ––––– g2

1 —

(4 3

Mathematics

17.

1 —

−

27 3 21. –––––––––– 1

−

−

−

×

−

×

−

9

×

−

−

−

5 — 3

−

3

(3 ) = –––––––––––– 1

−

— × 6

(32) 4 × 4 3 35 = ––––––– 8 3 × 4 2 −

−

−

A

Answer:

—

(4 3 )6

4

−

−

−

Chapter 3

5 —

−

(64 3 × 5 1)2 ÷ (5 4 × 2 3) = (4 × 5 1)2 ÷ (5 4 × 2 3) = (2 2 2 × 5 1 2) ÷ (5 4 × 2 3) = (2 4 × 5 2) ÷ (5 4 × 2 3) = 2 4 3 × 5 2 ( 4) = 2 1 × 5 2 = 2 × 25 = 50

SPM

= 3 5 ( 8) × 4 = 3 3 × 4 2 33 = ––– 42 27 = ––– 16 −

−

−

2

−

−

3 — 4

18.

81 × (3 2)3 –––––––––– 96 3 —

(34) 4 × 3 2 3 = ––––––––––– (32)6 ×

= 33 + 6 =3 3 1 = ––– 33

22.

12

−

4 — 3

8 ––– 27

(5

C

2 — 3

2 — 3

4

×

1 — 2

−

5 2 × 3 2 = ––––––– 54 −

Answer:

−

= 5 2 ( 4) × 3 2 = 5 2 × 3 2 = 25 × 9 = 225 −

23.

7 ) −

×

6

×

1 — 3

D

(7

÷

7

×

−

2 — 3

4 — 3

) ÷ (7 −

−

9 1) −

×

1 — 3

) ÷ (7

×

= 3 2 ( 2) × 7 = 3 4 × 7 2 34 = ––– 72 81 = ––– 49 −

4

−

= (3 2 × 7

4 — 3

−

2 — 3

2 — 3

3 2)

×

−

3 2)

×

−

2 — 3

−

32 ––––––––––– 1 —

(212 × 7 4) 2 −

4 — 5 5

(2 ) = –––––––––––– 1 — 2

(3

= (3

4 — 5

×

6

A

1 — 4 3

−

Answer:

12

)

24 – 4 2 = –––– × 5 34 20 × 52 = –––––– 34 25 = ––– 81

1 — 4 2

−

2

1 — × 4

4 2

×

−

(5 ) × 3 –––––––––––– – = ––––––––––– 2 2 (5 )

20.

1 — × 4 2

−

÷

2 4 = — ÷ (5 2 × 4 2) 3 24 2 4 ÷ (5 × 2 ) = ––– 34

125 × (3 ) –––––––––––– 25 –2

−

(5

1 —

4 2 )4

×

−

Answer:

3

4 — 3

23 = ––– 33

1 = ––– 27

19.

1 — 2

−

÷

−

−

B

Answer:

33 × 3 6 = –––––– 312

7

×

4

−

×

1 — 2

Answer:

4

2 = ––––––– 6 2 × 7 2 = 2 4 6 × 7 2 = 2 2 × 7 2 72 = ––– 22 49 = ––– 4 Answer: C

24.

−

2 — 9 3

(2 ) −

9

−

−

×

D

(4

×

2 — 3

1 — 2 4

6 )

×

1 — × 4

2 2 4 × (2 × 6 =2 = 2 6 × 2 8 × 6 2 = 2 6 + 8 × 6 2 = 2 2 × 6 2 = 4 × 36 = 144

−

×

)

−

−

Answer: 5

D

©


Indices@Indeks

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