Contoh Soal Bilangan Berpangkat Beserta Jawabannya

Kumpulan Soal Bilangan Berpangkat Soal No.1 Hasil dari 4^3/2 x 27^1/3 yaitu …
A. 28
B. 24
C. 12
D. 9 Pembahasan 4^3/2 x 27^1/3 = 2^{2 x 3/2} x 3^{2 x 1/3}
⇔ 2³ x 3¹
⇔ 8 x 3
⇔ 24

Jawab : B

Soal No.2 Hasil dari 4^-2 + 4^-3 ….
A. 1 / 64 B. 1 / 32 C. 1 / 16 D. 5 / 64 Pembahasan 4^-2 + 4^-3 =

1 / 4²

1 / 4³

⇔

1 / 16

1 / 64

⇔

4 / 64

1 / 64

⇔

5 / 64

Jawab : D

Soal No.3 Hasil dari 8^5/3 ialah ….
A. 32
B. 64
C. 10
D. 15 Pembahasan 8^5/3 = 2^{3 x 5/3}
⇔ 2⁵
⇔ 32

Jawab : A

Soal No.4 Hasil dari 10⁰ + 2⁰ + 5⁰ ialah ….
A. 3
B. 125
C. 1025
D. 25 Pembahasan Untuk a himpunan bilangan orisinil dengan a≠0, maka a⁰ = 1
10⁰ + 2⁰ + 5⁰ = 1 + 1 + 1
10⁰ + 2⁰ + 5⁰ = 3

Jawab : A

Soal No.5 Diketahui bilangan berpangkat mirip di bawah ini : a² x a⁴ x a⁶ x a⁸ x a¹⁰ / a¹ x a³ x a⁵ x a⁷ x a⁹ Bentuk sederhana dari bentuk tersebut yaitu …..
A. a⁵
B. a⁴
C. a³
D. a² Pembahasan

a² x a⁴ x a⁶ x a⁸ x a¹⁰ / a¹ x a³ x a⁵ x a⁷ x a⁹

a^{2 + 4 + 6 + 8 + 10} / a^{1 + 3 + 5 + 7 + 9}

⇔

a³⁰ / a²⁵

⇔ a^{30 – 25}
⇔ a⁵

Jawab : A

Soal No.6 Hasil dari (-8m² n³ ) x (2k³ n⁴ ) yakni ….
A. -16k³ m² n¹²
B. -16k³ m² n⁷
C. 16k³ m² n¹²
D. 16k³ m² n⁷ Pembahasan (-8m² n³ ) x (2k³ n⁴ ) = (-8 x 2)k³ m² n³⁺⁴
(-8m² n³ ) x (2k³ n⁴ ) = 16k³ m² n⁷

Jawab : D

Soal No.7 Hasil dari 10^-3 ialah …..
A. 0,001
B. 1000
C. 103
D. 300 Pembahasan 10^-3 =

1 / 10³

⇔

1 / 10 x 10 x 10

⇔

1 / 1000

⇔ 0,001

Jawab : A

Soal No.8 Hasil dari 4² / 2³ yaitu ……
A. 2
B. 4
C. 7
D. 6 Pembahasan

4² / 2³

(2²)² / 2³

⇔

2²⁺² / 2³

⇔

2⁴ / 2³

⇔ 2^{4 – 3}
⇔ 2¹
⇔ 2

Jawab : A

Soal No.9 Hasil dari 2⁴ / 2² + 3⁴ / 3² yaitu …..
A. 5
B. 13
C. 15
D. 23 Pembahasan

2⁴ / 2²

3⁴ / 3²

= 2^4-2 + 3^4-2
⇔ 2² + 3²
⇔ 4 + 9
⇔ 13

Jawab : B

Soal No.10 Diketahui bilangan berpangkat mirip berikut : a⁶b⁶c⁶ / a^-2b^-3c^-4 Bentuk sederhana dari bilangan berpangkat di atas adalah ….
A. a⁴b³c²
B. a⁸b⁹c¹⁰
C. a¹²b³c²
D. a⁸b⁶c¹² Pembahasan

a⁶b⁶c⁶ / a^-2b^-3c^-4

= a^{6 – (-2)} b^{6 – (-3)} c^{6 – (-4)} = a⁸b⁹c¹⁰

Jawab : B

Soal No.11 Bentuk sederhana dari : ( 5p^-2 q² / 25p³ q⁴ ) ^-1 yakni …..
A. 25p⁵ q²
B. 5p⁵ q²
C. p⁵ q²
D. 1 / 5 p⁵ q² Pembahasan ⇔ (

5p^-2 q² / 25p³ q⁴

) ^-1
⇔

1 / (

5p^-2 q² / 25p³ q⁴

)

⇔

25p³ q⁴ / 5p^-2 q²

⇔

5p³ q⁴ / p^-2 q²

⇔ 5p(^{3- (-2)}) q(^{4 – 2})
⇔ 5p⁵ q²

Jawab : B

Soal No.12 Nilai k untuk persamaan 2.(4^k) + 7.(4^k) – 4^k = 32 yakni…
A. 1
B. 2
C. 4
D. 5 Pembahasan (4^k)(2 + 7 – 1) = 32
(4^k).8 = 32
(4^k) = 32/8
(4^k) = (4¹)
k = 1

Jawab : A

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