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Sederhanakan bentuk-bentuk berikut! (52)3÷(54)2

Pertanyaan

Sederhanakan bentuk-bentuk berikut!

open parentheses 5 squared close parentheses cubed divided by open parentheses 5 to the power of 4 close parentheses squared

B. Hary

Master Teacher

Jawaban terverifikasi

Pembahasan

Untuk menyelesaikan soal ini, gunakan sifat pada bilangan berpangkat, yaitu:

  1. a to the power of m divided by a to the power of n equals a to the power of m minus n end exponent
  2. open parentheses a to the power of m close parentheses to the power of n equals a to the power of m cross times n end exponent
  3. a to the power of negative m end exponent equals 1 over a to the power of m

Sehingga didapatkan :

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses 5 squared close parentheses cubed divided by open parentheses 5 to the power of 4 close parentheses squared end cell equals cell open parentheses 5 to the power of 2 cross times 3 end exponent close parentheses divided by open parentheses 5 to the power of 4 cross times 2 end exponent close parentheses end cell row blank equals cell 5 to the power of 6 divided by 5 to the power of 8 end cell row blank equals cell 5 to the power of 6 minus 8 end exponent end cell row blank equals cell 5 to the power of negative 2 end exponent end cell row blank equals cell 1 over 5 squared end cell row blank equals cell 1 over 25 end cell end table

Maka, bentuk sederhana dari open parentheses 5 squared close parentheses cubed divided by open parentheses 5 to the power of 4 close parentheses squared adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 1 over 25 end cell end table

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