Quiz about Hukum Indeks

Question 1

Kirakan $$8^x\ =\ 64$$

Accepted Answer

$$8^2$$

Answer

$$8^4$$

Answer

$$8^6$$

Answer

$$8^8$$

Question 2

$$m^2\ x\ m^7=\ ?$$

Accepted Answer

$$m^9$$

Answer

$$m^2$$

Answer

$$m^5$$

Answer

$$m^{14}$$

Question 3

$$p^8\ \div\ p^3\ =\ ?$$

Accepted Answer

$$p^5$$

Answer

$$p^{11}$$

Answer

$$p^{23}$$

Answer

$$p^{24}$$

Question 4

$$\frac{12\ k^{13}\ n^5}{k^7}\ =\ ?$$

Accepted Answer

$$12\ k^{6\ }n^5$$

Answer

$$12\ k^{6\ }n^{-2}$$

Answer

$$12\ k^{20\ }n^{-2}$$

Answer

$$12\ k^{20\ }n^5$$

Question 5

Pilih persamaan yang betul

Accepted Answer

$$m^{5\ }=\ m imes m imes m imes m imes m$$

Answer

$$5^m\ =\ m imes m imes m imes m imes m$$

Answer

$$2^{7\ }=\ 7^2$$

Answer

$$3^{4\ }=\ 2^6$$

Question 6

a² x b³ x a³ x b x c² = ?

Accepted Answer

a⁵b⁴c²

Answer

a6b3c2

Answer

a⁴b⁶c²

Answer

a⁵b⁵c²

Question 7

k x k x k x k x k x k = k^a.

Nilai a ialah...

Accepted Answer

6

Answer

5

Answer

7

Answer

8

Question 8

w⁵ x w² x w = ?

Accepted Answer

w8

Answer

w10

Answer

w12

Answer

w14

Question 9

Permudahkan $$\frac{v^{3\ } imes\ v^6}{v^4}$$

Accepted Answer

$$v^5$$

Answer

$$v^{13}$$

Answer

$$v^2$$

Answer

$$v^{14}$$

Question 10

Permudahkan $$\frac{a^3b^5 imes a^4b^7}{a^2b^3}$$

Accepted Answer

$$a^5b^9$$

Answer

$$a^7b^4$$

Answer

$$a^9b^{15}$$

Answer

$$a^3b^{11}$$

Question 11

Permudahkan $$\frac{m^{14}}{m^7} imes m^5$$

Accepted Answer

$$m^{12}$$

Answer

$$m^{11}$$

Answer

$$m^4$$

Answer

$$m^6$$

Question 12

Permudahkan $$9a^7\div3a^3=?$$

Accepted Answer

$$3a^4$$

Answer

$$3a^3$$

Answer

$$3a^5$$

Answer

$$3a^6$$

Question 13

Permudahkan $$12p^8\div18p^3=?$$

Accepted Answer

$$\frac{2}{3}p^5$$

Answer

$$\frac{1}{2}p^2$$

Answer

$$\frac{3}{4}p^4$$

Question 14

Permudahkan $$\left(2^3\right)^2\ =?$$

Accepted Answer

$$2^6$$

Answer

$$2^2$$

Answer

$$2^4$$

Answer

$$2^8$$

Question 15

Permudahkan $$\left(-8^6\right)^3\ =?$$

Accepted Answer

$$\left(-8\right)^{18}$$

Answer

$$\left(-8\right)^{11}$$

Answer

$$\left(-8\right)^9$$

Answer

$$\left(-8\right)^5$$

Question 16

Permudahkan $$\left(\frac{18y^3}{9y^5}\right)^4$$

Accepted Answer

$$2y^{-8}$$

Answer

$$3y^8$$

Answer

$$6y^{-2}$$

Answer

$$9y^{12}$$

Question 17

Tukarkan $$7^{-9}$$ kepada indeks positif

Accepted Answer

$$\frac{1}{7^9}$$

Answer

$$\left(\frac{1}{7}\right)^9$$

Answer

$$\frac{7}{1^9}$$

Question 18

Tukarkan $$p^{-3}$$ kepada indeks positif

Accepted Answer

$$\frac{1}{p^3}$$

Answer

$$\frac{p}{1^3}$$

Answer

$$\left(\frac{1}{p}\right)^3$$

Question 19

Tukarkan $$3^{\frac{1}{5}}$$ kepada ungkapan punca kuasa

Accepted Answer

$$\sqrt[5]{3}$$

Answer

$$\sqrt[3]{5}$$

Answer

$$\sqrt[5]{1}$$

Answer

$$\sqrt[3]{1}$$

Question 20

Nyatakan persamaan berikut betul atau salah $$\left(2^4\right)^5=\left(2^5\right)^4$$

Accepted Answer

Betul

Answer

Salah

Question 21

$$24p^{10}\div4p^5=?$$

Accepted Answer

$$6p^5$$

Answer

$$28p^{10}$$

Answer

$$8p^2$$

Answer

$$16p^3$$

Question 22

Permudahkan $$\frac{5^{3x} imes5^x}{5^{-x}}$$

Accepted Answer

$$5^{5x}$$

Answer

$$5^{3x}$$

Answer

$$5^{4x}$$

Answer

$$5^{6x}$$

Question 23

Permudahkan $$c^4d^3 imes c^6d^2$$

Accepted Answer

$$c^{10}d^5$$

Answer

$$c^{-2}d^1$$

Answer

$$c^8d^3$$

Answer

$$c^5d^8$$

Question 24

Permudahkan $$\left(xy^2 ight)^3 imes x^3y^5$$

Accepted Answer

$$x^6y^{11}$$

Answer

$$x^3y^8$$

Answer

$$x^1y^6$$

Answer

$$x^4y^{10}$$

Question 25

Permudahkan $$\left(3x^2y ight)^3 imes\left(x^3 ight)^4\div x^{16}y^2$$

Accepted Answer

$$27x^2y$$

Answer

$$27x^{21}y^5$$

Answer

$$9x^2y$$

Answer

$$9x^{21}y^5$$

Question 26

Kirakan nilai bagi ungkapan $$\left(-5\right)^3$$

Accepted Answer

-125

Answer

15

Answer

125

Answer

-15

Question 27

Kirakan nilai bagi ungkapan $$128^0$$

Accepted Answer

1

Answer

128

Answer

0

Question 28

Kirakan nilai bagi ungkapan $$121^{-\frac{1}{2}}$$

Accepted Answer

$$\frac{1}{11}$$

Answer

$$\frac{11}{2}$$

Answer

11

Answer

$$121^2$$

Question 29

Kirakan nilai bagi ungkapan $$\left(\sqrt[5]{32}\right)^3$$

Accepted Answer

$$2^3=8$$

Answer

$$2^5=32$$

Answer

$$\left(32^5\right)^3=33,554,432$$

Answer

$$\left(32\right)^{3+5}=32^8$$

Question 30

Selesaikan $$\left(\sqrt[3]{8} ight)^2 imes\left(\sqrt[6]{64} ight)^3$$

Accepted Answer

32

Answer

64

Answer

16

Answer

8

Question 31

Kirakan nilai bagi indeks $$\frac{1}{\sqrt[3]{125}}$$

Accepted Answer

$$\frac{1}{5}$$

Answer

$$\frac{1}{3}$$

Answer

$$\frac{1}{10}$$

Answer

$$\frac{1}{8}$$

Question 32

Kirakan nilai pemboleh ubah bagi persamaan $$27^{x-1}-9^{x-3}=0$$

Accepted Answer

$$x=-3$$

Answer

$$x=3$$

Answer

$$x=-6$$

Answer

$$x=6$$

Question 33

Kirakan nilai pembolehubah $$7^{3y}-49^{5-y}=0$$

Accepted Answer

$$y=2$$

Answer

$$y=1$$

Answer

$$y=7$$

Answer

$$y=3$$

Question 34

Permudahkan $$16^{\frac{3}{4}}\div64^{\frac{5}{6}} imes8^{\frac{2}{3}}$$

Accepted Answer

$$2^0=1$$

Answer

$$2^0=0$$

Answer

$$2^0=2$$

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