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KPK dari ( 6 ab 2 c ) 3 dan 18 ( a 4 b ) 2 c 5 adalah ....

KPK dari dan adalah ....

  1. begin mathsize 14px style 36 straight a to the power of 8 straight b to the power of 5 straight c to the power of 5 end style

  2. begin mathsize 14px style 36 straight a to the power of 8 straight b to the power of 6 straight c to the power of 5 end style

  3. begin mathsize 14px style 216 straight a to the power of 8 straight b to the power of 5 straight c to the power of 5 end style

  4. begin mathsize 14px style 216 straight a to the power of 8 straight b to the power of 6 straight c to the power of 5 end style

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D. Kamilia

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Jawaban

KPK dari dan yaitu .

KPK dari begin mathsize 14px style open parentheses 6 ab squared straight c close parentheses cubed end style dan begin mathsize 14px style 18 open parentheses a to the power of 4 b close parentheses squared c to the power of 5 end style yaitu begin mathsize 14px style 2 cubed cross times 3 cubed cross times straight a to the power of 8 cross times straight b to the power of 6 cross times straight c to the power of 5 equals 216 straight a to the power of 8 straight b to the power of 6 straight c to the power of 5 end style.

Pembahasan

Perhatikan bahwa dan Sehingga Untuk mencari KPK, kalikan semua faktor-faktornya, namun jika ada faktor yang sama, diambil yang memiliki pangkat terbesar. Sehingga KPK dari dan yaitu .

Perhatikan bahwa

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses 6 ab squared straight c close parentheses cubed end cell equals cell open parentheses 2 cross times 3 cross times straight a cross times straight b squared cross times straight c close parentheses cubed end cell row blank equals cell 2 cubed cross times 3 cubed cross times straight a cubed cross times open parentheses straight b squared close parentheses cubed cross times straight c cubed end cell row blank equals cell 2 cubed cross times 3 cubed cross times straight a cubed cross times straight b to the power of 6 cross times straight c cubed end cell end table end style 

dan

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell 18 open parentheses straight a to the power of 4 straight b close parentheses squared straight c to the power of 5 end cell equals cell 2 cross times 9 cross times open parentheses straight a to the power of 4 cross times straight b close parentheses squared cross times straight c to the power of 5 end cell row blank equals cell 2 cross times 3 cubed cross times open parentheses straight a to the power of 4 close parentheses squared cross times straight b squared cross times straight c to the power of 5 end cell row blank equals cell 2 cross times 3 cubed cross times straight a to the power of 8 cross times straight b squared cross times straight c to the power of 5 end cell end table end style 

Sehingga

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses 6 ab squared straight c close parentheses cubed end cell equals cell 2 cubed cross times 3 cubed cross times straight a cubed cross times straight b to the power of 6 cross times straight c cubed end cell row cell 18 open parentheses straight a to the power of 4 straight b close parentheses squared straight c to the power of 5 end cell equals cell 2 cross times 3 squared cross times straight a to the power of 8 cross times straight b squared cross times straight c to the power of 5 end cell end table end style 

Untuk mencari KPK, kalikan semua faktor-faktornya, namun jika ada faktor yang sama, diambil yang memiliki pangkat terbesar. Sehingga KPK dari begin mathsize 14px style open parentheses 6 ab squared straight c close parentheses cubed end style dan begin mathsize 14px style 18 open parentheses a to the power of 4 b close parentheses squared c to the power of 5 end style yaitu begin mathsize 14px style 2 cubed cross times 3 cubed cross times straight a to the power of 8 cross times straight b to the power of 6 cross times straight c to the power of 5 equals 216 straight a to the power of 8 straight b to the power of 6 straight c to the power of 5 end style.

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