Quiz about Latihan Soal Eksponen & Bentuk Akar

Question 1

Hp dari $$10.000^{\left(2x-2\right)}=10^{\left(x+6\right)}$$ !

Accepted Answer

$$2$$

Answer

$$-3$$

Answer

$$-2$$

Answer

$$-1$$

Answer

$$1$$

Question 2

Bentuk $$\left(\frac{a^{\frac{1}{2}}b^{-3}}{a^{-1}b^{-\frac{3}{2}}}\right)^{\frac{2}{3}}=...$$

Accepted Answer

$$\frac{a}{b}$$

Answer

$$\frac{b}{a}$$

Answer

$$b\sqrt{a}$$

Answer

$$a\sqrt{b}$$

Answer

ab

Question 3

Penyelesaian dari $$5^{2x-1}=\frac{1}{125}$$

Accepted Answer

-1

Answer

-2

Answer

1

Answer

2

Answer

3

Question 4

$$3^{x^2-2x-5}=\frac{1}{9}$$ nilai x yang memenuhi persamaan adalah ...

Accepted Answer

3

Answer

1

Answer

2

Answer

-2

Question 5

$$3\sqrt[]{24}+2\sqrt[]{3}\left(\sqrt[]{32}-2\sqrt[]{18}\right)=....$$

Accepted Answer

$$2\sqrt{6}$$

Answer

$$\sqrt{6}$$

Answer

$$4\sqrt{5}$$

Answer

$$10\sqrt{6}$$

Answer

$$7\sqrt{5}$$

Question 6

$$\left(5a^2b ight)^6 imes\frac{b^3}{125a^6}=...$$

Accepted Answer

$$\left(5a^2b^3\right)^3$$

Answer

$$5^3a^6b^6$$

Answer

$$5a^6b^9$$

Answer

$$\left(5a^3b^2\right)^3$$

Answer

$$\left(\frac{5a^2}{b^3}\right)^3$$

Question 7

Bentuk sederhana $$\frac{8}{\sqrt[]{7}+\sqrt[]{3}}$$ adalah....

Accepted Answer

$$2\left(\sqrt[]{7}-\sqrt[]{3}\right)$$

Answer

$$2\sqrt[]{7}-\sqrt[]{3}$$

Answer

$$2\ \sqrt[]{7}+2\sqrt[]{3}$$

Answer

$$\sqrt[]{7}\ -\ \sqrt[]{3}$$

Answer

$$2\left(\sqrt[]{3}\ -\ \sqrt[]{7}\right)$$

Question 8

Bentuk sederhana dari $$\frac{12}{7\ \sqrt[]{6}}$$ adalah...

Accepted Answer

$$\frac{2\ \sqrt[]{6}}{7}$$

Answer

$$\frac{\sqrt[]{6}}{7}$$

Answer

$$\frac{3\sqrt[]{6}}{7}$$

Answer

$$\frac{\sqrt[]{6}}{14}$$

Answer

$$\frac{7\ \sqrt[]{6}}{2}$$

Question 9

$$10^{-4}=....$$

Accepted Answer

0,0001

Answer

0,001

Answer

0,01

Answer

0,1

Answer

0,00001

Question 10

$$\left(\frac{3}{10}\right)^0+\frac{3}{10}+\left(\frac{3}{10}\right)^2=....$$

Accepted Answer

$$\frac{139}{100}$$

Answer

$$\frac{9}{100}$$

Answer

$$\frac{13}{100}$$

Answer

$$\frac{19}{100}$$

Answer

$$\frac{193}{100}$$

Question 11

$$\left(\frac{x^{-1}y^{-2}}{y^{-3}z^2}\right)^{-2}\left(\frac{x^2z^{-3}}{x^{-1}y^2z^{-2}}\right)^3=....$$

Accepted Answer

$$\frac{x^{11}z}{y^8}$$

Answer

$$\frac{y^8z}{x^{11}}$$

Answer

$$\frac{x^8z^{11}}{y}$$

Answer

$$\frac{xz}{y}$$

Answer

$$\frac{x^8y}{z^8}$$

Question 12

Penyelesaian dari persamaan berikut adalah
$$\left(\frac{1}{8}\right)^{2x-1}=64$$

Accepted Answer

$$-\frac{1}{2}$$

Answer

$$\frac{1}{2}$$

Answer

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

Answer

$$-2$$

Answer

$$-\frac{3}{2}$$

Question 13

Himpunan penyelesaian dari persamaan $$2^{2x}-5.2^{x+1}+16=0$$ adalah.....

Accepted Answer

{1, 3}

Answer

{1, 2}

Answer

{0, 1}

Answer

{1, 4}

Answer

{2, 3}

Question 14

Nilai dari $$\frac{36^{\frac{1}{2}}}{27^{\frac{2}{3}}-\left(\frac{1}{2}\right)^{-2}}$$ adalah....

Accepted Answer

$$\frac{6}{5}$$

Answer

$$\frac{5}{6}$$

Answer

$$-\frac{6}{5}$$

Answer

6

Answer

Question 15

$$\sqrt[]{1100}-5\ \sqrt[]{44}\ +\ \sqrt[]{275}-2\ \sqrt[]{11\ }=....$$

Accepted Answer

$$3\ \sqrt[]{11}$$

Answer

$$\sqrt[]{11}$$

Answer

$$11\sqrt[]{3}$$

Answer

$$-3\sqrt[]{11}$$

Answer

$$-11\sqrt[]{3}$$

Question 16

Sebuah bakteri berkembang biak menjadi 8 pada hari pertama, lalu menjadi 64 pada hari kedua. Berapa bakteri setelah tiga hari?

Accepted Answer

512

Answer

128

Answer

192

Answer

256

Answer

384

Question 17

Dalam ilmu biologi ada yang namanya pertumbuhan jenis Amuba tertentu. Misalnya pertumbuhan mengikuti fungsi eksponen $$A_t=A_0 imes2^t$$ dengan $$A_0$$ adalah banyaknya Amuba pada awal pengamatan dan t adalah waktu pda pengamatan terjadi (satuan menit). Jika diketahui pada awal pengamatan pukul 09.00 ada 100 Amuba maka banyak Amuba setelah dilakukan pengamatan pada pukul 09.10 adalah...

Accepted Answer

$$100 imes2^{10}$$

Answer

$$200 imes2^{10}$$

Answer

$$2^{10}$$

Answer

$$1000 imes2^{10}$$

Answer

$$10 imes2^{10}$$

Question 18

Populasi kelinci di suatu wilayah berkelipatan 3 setiap setengah tahun dan fungsinya bisa di modelkan sebagai $$f\left(x\right)=10.3^x$$ dengan x adalah rasio lamanya waktu terhadap periode setengah tahun. Jumlah kelinci setelah 3 tahun adalah.....

Accepted Answer

7290

Answer

270

Answer

810

Answer

2430

Answer

4860

Question 19

$$a^0 imes b^{-2}=$$

Accepted Answer

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

Answer

$$\frac{a}{b^2}$$

Answer

0

Answer

1

Answer

$$\frac{2}{b^2}$$

Question 20

$$\sqrt[5]{96}=....$$

Accepted Answer

$$2\sqrt[5]{3}$$

Answer

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

Answer

2

Answer

6

Answer

$$3\sqrt[5]{2}$$

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