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Pangkat dan Sifatnya

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Sifat bilangan pangkat

Created by

Zarimatul Jannah
Zarimatul Jannah
Indonesia

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Pangkat dan Sifatnya
 

Pangkat dan SifatnyaOnline version

Sifat bilangan pangkat

by Zarimatul Jannah
1

1. a^m · a^n =.... ?

2

2. Sifat (a^m)^n sama dengan?

3

3. a^0 sama dengan?

4

4. (ab)^n sama dengan?

5

5. a^m · b^m sama dengan?

6

6. bagaimana (a^m)^n dinyatakan?

7

7. a^(m/n) adalah?

8

8. Sifat bilangan pangkat negatif: a^(-k) = ?

9

9. a^n · a^(-n) = ?

10

Hasil 3^4 × 3^2 adalah?

11

(2^3)^4 sama dengan?

12

(ab)^3 = ?

13

Nilai a^0 adalah?

14

a^-2 sama dengan?

15

a^m / a^n = ?

16

2^7 ÷ 2^2 = ?

17

(3^2)^-3 = ?

18

(ab)^-1 = ?

19

Hitung 4^3 × 4^-2 = ?

Penjelasan

Karena basis sama, eksponen ditambah: a^m · a^n = a^{m+n}.

Pangkat dalam tanda kurung dikalikan: (a^m)^n = a^{m·n}.

Setiap bilangan pangkat 0 bernilai 1 (asumsi a ≠ 0).

Pangkat didistribusikan ke setiap faktor: (ab)^n = a^n b^n.

Eksponen sama di pangkatkan pada kedua basis: (ab)^m.

Kepada bilangan pangkat, eksponen mengalikan: (a^m)^n = a^{m·n}.

Pangkat pecahan berarti akar nth: a^{m/n} = (a^m)^{1/n}.

Pangkat negatif invers nilai: a^{-k} = 1/a^k (untuk a ≠ 0).

Eksponen berlawanan saling membatalkan: a^n · a^(-n) = a^{n-n} = a^0 = 1.

Gunakan hukum penjumlahan eksponen: menambah bilangan eksponen dengan basis sama.

Hukum pangkat pada pangkat berlipat: kalikan eksponen.

Hukum produk berpangkat: pangkat diterapkan pada masing-masing faktor.

Setiap non-nol pangkat nol bernilai 1.

Eksponen negatif membalikkan posisi sebagai kebalikan dari a^2.

Pembilang dan penyebut dengan basis sama mengurangkan eksponen.

Kurangi eksponen saat membagi dengan basis sama.

Perkalian eksponen pada pangkat luar: kalikan eksponen.

Eksponen negatif diterapkan pada setiap faktor.

Hubungkan eksponen: 3 + (-2) = 1 sehingga 4^1 = 4.

 
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