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HUKUM INDEKS MATEMATIK TINGKATAN 3

Total questions: 42

Worksheet time: 1hrs 24mins

Name
Class
Date
1.
b×b×b×b in index form is equal to
a)
4b
b)
b4
c)
b3
d)
2b2
2.
Simplify 2b2×3b2
a)
6b2
b)
6b4
c)
12b
d)
20b3
3.
Express b2 in expanded form
a)
b+b
b)
b+b+b
c)
b×b
d)
2×b
4.
Simplify b3×b11
a)
b15
b)
b8
c)
b33
d)
b14
5.
Simplify 5b4×4b3
a)
20b7
b)
9b7
c)
9b12
d)
20b12
6.
Simplify b2×b4×b3
a)
b7
b)
b6
c)
b9
d)
b10
7.
Simplify 18b7÷ 2b3
a)
6b4
b)
9b
c)
6b4
d)
9b4
8.
Simplify 24b÷ 3b
a)
12b2
b)
8b2
c)
12b
d)
8b4
9.
(5²)³
a)
15625
b)
15000
c)
25
d)
3125
10.
 4-1 =
a)
¼
b)
c)
-4
d)
11.
Nyatakan bersamaan berikut benar atau palsu
(24)5 = (25)4
a)
Benar
b)
Palsu
12.
Permudahkan (2× 53)6
a)
2× 518
b)
224 × 53
c)
224 × 518
13.
Permudahkan 3× 32
a)
36
b)
35
c)
3
14.

Hitung nilai tersebut.

a)

18

b)

28

c)

72

d)

81

15.
24p10 ÷ 4p5 =
a)
20p3
b)
6p5
c)
6p2
16.
m2 x n3 x m6  =
a)
m8n3
b)
m6n3
c)
mn11
17.
25½  =
a)
12.5
b)
5
c)
625
d)
10
18.
a)

x2

b)

x3

c)

x4

d)

x5

19.
a)

x2

b)

x4

c)

x6

d)

x8

20.
a)

m2

b)

m4

c)

m6

d)

m8

21.
a)

m5

b)

m9

c)

m12

d)

m14

22.
a)

m

b)

m2

c)

m8

d)

m16

23.
a)

12 k-4 m6

b)

12k4 m6

c)

k4 m6

d)

k4 m

24.
a)

m7

b)

m-7

c)

6 m7

d)

6 m-7

25.
a)

9/4

b)

-9/4

c)

4/9

d)

-4/9

26.

Choose whether the equation true or false.

a)

TRUE

b)

FALSE

27.
a)

TRUE

b)

FALSE

28.

Problem solving.

Solve for x in the following equations.


52x-1 = 5x+2

a)

x = 3

b)

x = 4

c)

x = 5

d)

x = 6

29.

Problem solving.

Solve for x in the following equations.


33x-9 = 3x+1

a)

x = 3

b)

x = 4

c)

x = 5

d)

x = 6

30.

Problem solving.

Solve for x in the following equations.


22x+4 = 1

a)

x = - 3

b)

x = - 2

c)

x = 2

d)

x = 3

31.

Problem solving.

Solve for x in the following equations.


4(7x + 7x) = 1

a)

x = 1

b)

x = 2

c)

x = 3

d)

x = 4

32.

Problem solving.

Solve for x in the following equations.


162x-3 = 84x

a)

x = - 2

b)

x = - 3

c)

x = 2

d)

x = 3

33.

( 412)4  X  ( 412)3  X  ( 4 12)0 =\left(-\ 4\frac{1}{2}\right)^4\ \ X\ \ \left(-\ 4\frac{1}{2}\right)^3\ \ X\ \ \left(-\ 4\ \frac{1}{2}\right)^0\ =  

a)

( 412)7\left(-\ 4\frac{1}{2}\right)^7  

b)

( 412)8\left(-\ 4\frac{1}{2}\right)^8  

c)

( 412)0\left(-\ 4\frac{1}{2}\right)^0  

d)

( 412)0\left(-\ 4\frac{1}{2}\right)^0  

34.
a)

n1 4n^{\frac{1}{\ 4}}

b)

n 4n\ ^4

c)

n 116n\ ^{\frac{1}{16}}

d)

n 16n\ ^{16}

35.

Lengkapkan petak kosong tersebut. (TP2)

a)

m+n

b)

mn

c)

mn\frac{m}{n}

d)

m-n

36.

BENAR ATAU PALSU


5243 =35\sqrt{-243\ }=-3  

a)

BENAR

b)

PALSU

37.

312545=(43125)53125^{\frac{4}{5}}=\left(4\sqrt{3125}\right)^5

    BENAR ATAU PALSU


a)

BENAR

b)

PALSU

38.

BENAR ATAU PALSU

6446=(664)464^{\frac{4}{6}}=\left(6\sqrt{64}\right)^4  

a)

BENAR

b)

PALSU

39.

r2=1r2r^{-2}=\frac{1}{r^2}  

a)

Benar

b)

Palsu

40.

(4x5y)4=(5x4y)4\left(\frac{4x}{5y}\right)^4=\left(\frac{5x}{4y}\right)^{-4}  

a)

Benar

b)

Palsu

41.

1m3=m3\frac{1}{m^{-3}}=m^{-3}  

a)

Benar

b)

Palsu

42.

3h0=33h^0=3  

a)

Benar

b)

Palsu