⎝⎛​2561​⎠⎞​72​⎝⎛​531​⎠⎞​72​​=...

Pertanyaan

begin mathsize 14px style open parentheses 5 to the power of begin display style 1 third end style end exponent close parentheses to the power of begin display style 2 over 7 end style end exponent over open parentheses 25 to the power of begin display style 1 over 6 end style end exponent close parentheses to the power of begin display style 2 over 7 end style end exponent equals... end style 

  1. begin mathsize 14px style 2 end style 

  2. size 14px 1 

  3. begin mathsize 14px style 1 half end style 

  4. size 14px 0 

W. Lestari

Master Teacher

Mahasiswa/Alumni Universitas Sriwijaya

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah B.

Pembahasan

Ingat kembali sifat bilangan berpangkat berikut:

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 a to the power of m over a to the power of n equals a to the power of m minus n end exponent a to the power of 0 equals 1 

Maka:

table attributes columnalign right center left columnspacing 2px end attributes row cell open parentheses 5 to the power of begin display style 1 third end style end exponent close parentheses to the power of begin display style 2 over 7 end style end exponent over open parentheses 25 to the power of begin display style 1 over 6 end style end exponent close parentheses to the power of begin display style 2 over 7 end style end exponent end cell equals cell open parentheses 5 to the power of 1 third end exponent close parentheses to the power of 2 over 7 end exponent over open parentheses open parentheses 5 squared close parentheses to the power of 1 over 6 end exponent close parentheses to the power of 2 over 7 end exponent end cell row blank equals cell open parentheses 5 to the power of 1 third end exponent close parentheses to the power of 2 over 7 end exponent over open parentheses open parentheses 5 close parentheses to the power of 2 cross times 1 over 6 end exponent close parentheses to the power of 2 over 7 end exponent end cell row blank equals cell open parentheses 5 to the power of 1 third end exponent close parentheses to the power of 2 over 7 end exponent over open parentheses 5 to the power of 1 third end exponent close parentheses to the power of 2 over 7 end exponent end cell row blank equals cell 5 to the power of begin display style 2 over 21 end style end exponent over 5 to the power of begin display style 2 over 21 end style end exponent end cell row blank equals cell 5 to the power of 2 over 21 minus 2 over 21 end exponent end cell row blank equals cell 5 to the power of 0 end cell row blank equals 1 end table 

Jadi, jawaban yang tepat adalah B.

78

5.0 (1 rating)

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