Pangkat


Pengertian:

ap = a × a × … × a (sebanyak p kali)

 

Sifat-sifat:

am × an = am + n

Contoh:

23 × 25 = 23 + 5 = 28

34 × 35 = 34 + 5 = 39

 

am : an = am – n

Syarat:  a ≠ 0

Contoh:

25 : 23 = 25 – 3  = 22

37 : 32 = 37 – 2  = 35

 

(a × b)m = am × bm

Contoh:

(3 × 2)5 = 35 × 25

(3a)2 = 32 × a2 = 9a2

(a : b)m = am : bm

Contoh:

(2 : p)5 = 25 : r5

(5 : 2)3 = 53 : 23

 

(am)n = am × n

Contoh:

(p3)2 = p3 × 2 = p6

(ab)2 = a2b

 

Pangkat nol:  a0 = 1 dimana a ≠ 0

→ bilangan berapapun selain nol, jika dipangkatkan nol, hasilnya 1

Contoh:

(√3)0 = 1

(23421424)0 = 1

m0 = 1

 

Pangkat bulat negatif

Syarat: a ≠ 0

Contoh:

About alicealc

a private teacher, teaches Math, Physics, and Chemistry for Junior High and High School students :)
This entry was posted in Matematika (Indonesia) and tagged , . Bookmark the permalink.

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