Bab Eksponen dan Logaritma - Pengertian Bilangan Berpangkat

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Mathematics

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10th Grade

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Practice Problem

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Supaat Supaat

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6 Slides • 5 Questions

Pengertian Bilangan Berpangkat

Supaat, M.Pd.

Definisi Bilangan Berpangkat Bilangan Asli

Misalkan $a$ adalah bilangan real. Sedangkan, $n$ adalah bilangan asli.

Selanjutnya, didefinisikan $a^n$ (dibaca " $a$ pangkat $n$ ") sebagai berikut:

$a^n=a\times a\times a\times\cdots\times a$ (sebanyak $n$ faktor)

Contoh 1

$2^4=2\times2\times2\times2$

( $2$ dikalikan berulang sebanyak $4$ faktor)

Contoh 2

$12^6=12\times12\times12\times12\times12\times12$

( $12$ dikalikan berulang sebanyak $6$ faktor)

Multiple Choice

Jika dinyatakan dalam bentuk bilangan berpangkat paling sederhana, maka $\left(-2\right)\times\left(-2\right)\times\left(-2\right)$ sama dengan ...

$2^3$

$-2^3$

$2^{-3}$

$3^{-2}$

Multiple Choice

Jika dinyatakan dalam bentuk bilangan berpangkat paling sederhana, maka $\left(-\frac{1}{3}\right)\times\left(-\frac{1}{3}\right)\times\left(-\frac{1}{3}\right)\times\left(-\frac{1}{3}\right)$ sama dengan ...

$\frac{1}{3^4}$

$-\frac{1}{3^4}$

$\left(\frac{1}{3}\right)^{-4}$

$-3^{-4}$

Multiple Choice

$\frac{1}{3^4}$

$-\frac{1}{3^4}$

$\left(\frac{1}{3}\right)^{-4}$

$-3^{-4}$

Contoh 3

Nyatakan $16$ sebagai bilangan real prima berpangkat bilangan asli!

Jawab:

16=2\times2\times2\times2=2^4

Contoh 4

Nyatakan $200$ sebagai bilangan real prima berpangkat bilangan asli!

Jawab

$200=2\times2\times2\times5\times5=2^3\times5^2$

Multiple Choice

Jika dinyatakan dalam perkalian bilangan prima berpangkat, maka $1.000$ sama dengan ...

$10^3$

$2^3\times5^3$

$4\times5^3$

$2^3\times125$

Multiple Choice

Jika dinyatakan dalam perkalian bilangan prima berpangkat, maka $3.125$ sama dengan ...

$3^2\times5^3$

$3^5$

$5^5$

$2^2\times3^3\times5^2$

Pengertian Bilangan Berpangkat

Supaat, M.Pd.

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