Free Printable Indeks/Indices

1.

Pilih semua jawapan yang betul bagi a $a^2$
Choose all the correct answers for $a^2$

a)

$a^6$ x $a^6$

b)

$a^{24}\ \div a\ ^2$

c)

$\frac{a^4}{a^{-8}}$

d)

$\frac{a^{-9}}{a^3}$

2.

Nilaikan/Evaluate : $\frac{3^{-2\ }\times\ 4^2}{3^{-3}\ \times\ 64}$

a)

12

b)

$\frac{3}{4}$

c)

$\frac{4}{3}$

d)

$\frac{1}{12}$

3.

Permudahkan/Simplify : $27^{\frac{1}{3}}\ \times\ 2^{\frac{1}{2}}\ \times\ 32^{\frac{1}{2}}$

a)

18

b)

1728

c)

41.5692

d)

24

4.

$2\ \times\ 4^{x-2^{ }}\ =16$
Cari nilai x.
Find the value of x.

a)

4

b)

10

c)

$\frac{7}{2}$

d)

$\frac{2}{7}$

5.

Diberi bahawa $6^{3x-4}\ \div6^2\ =216$ Hitung nilai x. $It\ is\ given\ that\ 6^{3x-4}\ \div\ 6^2\ =216.\ Calculate\ the\ value\ of\ x.$

a)

3

b)

-1

c)

2

d)

1

6.

Nilaikan/Evaluate : $\frac{32^{\frac{3}{5}}}{3^{\frac{1}{2}}\times27^{\frac{1}{2}}}$

a)

$\frac{2}{3}$

b)

$\frac{3}{2}$

c)

$\frac{9}{8}$

d)

$\frac{8}{9}$

7.

Diberi $\frac{1}{2}m^3=512^{\frac{2}{3}}\div32^{\frac{4}{5}}$ Cari nilai m.

$Given\ that\ \frac{1}{2}m^3\ =512^{\frac{2}{3}}\div32^{\frac{4}{5}},$ $find\ the\ walue\ of\ m.$

a)

2

b)

4

c)

6

d)

8

8.

Diberi $4^{2y^{ }-3}=\frac{1024}{16^{2y}}$ cari nilai y.

$Given\ that\ 4^{2y^{ }-3}=\frac{1024}{16^{2y}},$ $find\ the\ value\ of\ y.$

a)

$\frac{4}{3}$

b)

$\frac{3}{4}$

c)

4

d)

$\frac{1}{4}$

9.

Cari nilai x dan nilai y yang memuaskan kedua-dua persamaan di bawah.
Find the values of x and y that satisfy both equations below.

27^{x^{ }-2}=9^y

32^{y-\frac{3}{5}^{ }}=\frac{1}{8^{2x}}

a)

$x=\frac{3}{4},\ y\ =1$

b)

$x\ =\ \frac{4}{3},\ y\ =\ -1$

c)

$x=\frac{3}{4},\ y=-1$

d)

$x=\frac{4}{3},\ y=1$

10.

Jisim sebuah kubus ialah 3 x 10⁴ g dan jisim sebuah kuboid ialah 2 x 10² kali jisim kubus itu. Hitung jisim, dalam g, kuboid itu dalam bentuk indeks.

The mass of a cube is 3 x 10⁴ g and the mass of a cuboid is 2 x 10² times the mass of the cube. Calculate the mass, in g, of the cuboid in index form.

a)

5 x 10⁶ g

b)

6 x 10⁸ g

c)

5 x 10⁸ g

d)

6 x 10⁶ g

Indeks/Indices

Total questions: 10

Worksheet time: 10mins

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