1. SEKOLAH MENENGAH KEBANGSAAN TUANKU ABDUL RAHMAN
48100 BATU ARANG SELANGOR DARUL EHSAN TEL : 03-60352237
JABATAN SAINS DAN MATEMATIK STAR FAX : 03-60353198
MODUL PROGRAM KECEMERLANGAN AKADEMIK PMR 2011
_____________________________________________________________________________________________
Module 9
1. (a) Find the value of 4
3
16
1





 .
(b) Simplify (2m5
y2
)2
÷ m3
y–1
.
2. Calculate the value of k in each of the following.
(a) 22k
× 64 = 214
(b) 39
÷ 3k
=
27
1
3. (a) Find the value of 2
5
9 ÷ 3–5
.
(b) Given that 72f
= 49 ÷ 7f
. Determine the value of f.
4. (a) Calculate the value of
3
6
1
−






.
(b) Simplify (2p2
r3
)5
÷ p7
r–2
.
5. (a) Find the value of n that satisfies the equation 2n
÷ 16 = 20
.
(b) Find the exact value of (16–5
) 4
1
− .
6. Simplify.
(a) 4w0
× w7
× 3w–2
(b) (k3
r–1
)5
÷ k2
r4
7. (a) Find the value of 9 ×
1
9
1
−






.
(b) Simplify (2x8
y–3
)3
÷ 4x– 2
y– 1
.
8. (a) Calculate the value of 0.008 3
2
.
(b) Simplify (3k5
w–4
)3
÷ k–3
w6
.
9. Calculate the value of each of the following.
(a) 27 3
2
(b) 32 5
3
+ 





81
1
4
1
−
10. (a) Simplify x7
y2
÷ (x4
y–1
)3
.
(b) Calculate the value of 3
3
1
− × 30
×
2
3
5
3








.
1

2. SEKOLAH MENENGAH KEBANGSAAN TUANKU ABDUL RAHMAN
48100 BATU ARANG SELANGOR DARUL EHSAN TEL : 03-60352237
JABATAN SAINS DAN MATEMATIK STAR FAX : 03-60353198
MODUL PROGRAM KECEMERLANGAN AKADEMIK PMR 2011
_____________________________________________________________________________________________
11. (a) Find the value of 225 2
1
− .
(b) Simplify (9m–2
p)2
÷ (3m4
p–5
)3
.
12. (a) Calculate the value of
5
2
1
−






–
0
3
1






.
(b) Simplify 24t9
y4
÷ (2t–2
y)3
.
13. (a) Find the exact value of
3
4
27
8





 .
(b) Simplify k9
m2
÷ (k–3
m5
)2
.
14. Without using a calculator, calculate the value of the following.
(a) 125 3
2
(b) 21 × 49 2
1
−
15. (a) It is given that 53
÷
w






5
1
= 57
. Find the value of w.
(b) Simplify (fk– 3
)6
÷ (f –1
k2
)2
.
16. (a) Calculate the value of 2
1
25
9
−





 .
(b) Simplify 3h7
k–3
÷ 6h4
k3
.
17. Calculate the value of each of the following without using a calculator.
(a) 625 4
3
(b) 5 ×
2
6
1
−






.
18. (a) Find the value of 1 000 3
2
− .
(b) Simplify (3w–1
z5
)2
÷ (w3
z–2
)3
.
19. (a) Without using a calculator, find the value of
8
2
1
−






.
(b) Simplify m3
n2
÷ (m2
n–3
)3
.
20. (a) Calculate the value of 27 3
2
× 3
2
8
1





 .
(b) Simplify (2p7
q2
)3
× (p–2
q5
)2
.
2

3. SEKOLAH MENENGAH KEBANGSAAN TUANKU ABDUL RAHMAN
48100 BATU ARANG SELANGOR DARUL EHSAN TEL : 03-60352237
JABATAN SAINS DAN MATEMATIK STAR FAX : 03-60353198
MODUL PROGRAM KECEMERLANGAN AKADEMIK PMR 2011
_____________________________________________________________________________________________
Answer module 9
1. (a)
8
1
(b) 4m7
y5
2. (a) 4 (b) 12
3. (a) 310
(b)
3
2
4. (a) 216 (b) 32p17
r17
5. (a) 4 (b) 32
6. (a) 12w5
(b) k13
r−9
7. (a) 81 (b) 2x26
y−8
8. (a) 0.04 (b) 9k13
w−14
9. (a) 9 (b) 11
10. (a) x−5
y5
(b) 27
11. (a)
15
1
(b) 3m−16
p17
12. (a) 31 (b) 3t15
y
13. (a)
81
16
(b) k15
m−18
14. (a) 25 (b) 3
15. (a) 4 (b) f 8
k−22
16. (a)
3
5
(b)
2
1
h3
k−6
17. (a) 125 (b) 180
18. (a)
100
1
(b) 9w−11
z16
3

4. SEKOLAH MENENGAH KEBANGSAAN TUANKU ABDUL RAHMAN
48100 BATU ARANG SELANGOR DARUL EHSAN TEL : 03-60352237
JABATAN SAINS DAN MATEMATIK STAR FAX : 03-60353198
MODUL PROGRAM KECEMERLANGAN AKADEMIK PMR 2011
_____________________________________________________________________________________________
19. (a) 256 (b) m−3
n11
20. (a)
4
9
(b) 8p17
q16
4