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Pertanyaan

Bentuk sederhana open parentheses 3 to the power of negative 1 end exponent a to the power of 4 b to the power of negative 3 end exponent close parentheses to the power of negative 2 end exponent over open parentheses 6 a squared b to the power of negative 1 end exponent c to the power of negative 2 end exponent close parentheses squared adalah ...

  1. fraction numerator a to the power of 12 b to the power of 8 over denominator 4 c to the power of 4 end fraction 

  2. fraction numerator a to the power of 8 b to the power of 12 over denominator 4 c to the power of 4 end fraction 

  3. fraction numerator 4 b to the power of 12 over denominator a to the power of 8 b to the power of 4 end fraction 

  4. fraction numerator b to the power of 8 c to the power of 4 over denominator 4 a to the power of 12 end fraction 

  5. fraction numerator 4 b to the power of 8 over denominator a to the power of 12 c to the power of 4 end fraction 

S. Amamah

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah D. 

Pembahasan

Ingat sifat bilangan berpangkat:

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses x y close parentheses to the power of n end cell equals cell x to the power of n y to the power of n end cell row cell open parentheses x to the power of m close parentheses to the power of n end cell equals cell x to the power of m n end exponent end cell row cell x to the power of m over x to the power of n end cell equals cell x to the power of m minus n end exponent end cell row cell x to the power of negative m end exponent end cell equals cell 1 over x to the power of m end cell end table  

maka

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses 3 to the power of negative 1 end exponent a to the power of 4 b to the power of negative 3 end exponent close parentheses to the power of negative 2 end exponent over open parentheses 6 a squared b to the power of negative 1 end exponent c to the power of negative 2 end exponent close parentheses squared end cell equals cell fraction numerator 3 to the power of negative 1 open parentheses negative 2 close parentheses end exponent a to the power of 4 open parentheses negative 2 close parentheses end exponent b to the power of negative 3 open parentheses negative 2 close parentheses end exponent over denominator 6 squared a to the power of 2 times 2 end exponent b to the power of negative 1 times 2 end exponent c to the power of negative 2 times 2 end exponent end fraction end cell row blank equals cell fraction numerator 3 squared a to the power of negative 8 end exponent b to the power of 6 over denominator 6 squared a to the power of 4 b to the power of negative 2 end exponent c to the power of negative 4 end exponent end fraction end cell row blank equals cell open parentheses 9 over 36 close parentheses open parentheses a to the power of negative 8 end exponent over a to the power of 4 close parentheses open parentheses b to the power of 6 over b to the power of negative 2 end exponent close parentheses open parentheses 1 over c to the power of negative 4 end exponent close parentheses end cell row blank equals cell 1 fourth a to the power of negative 8 minus 4 end exponent b to the power of 6 minus open parentheses negative 2 close parentheses end exponent c to the power of 4 end cell row blank equals cell 1 fourth a to the power of negative 12 end exponent b to the power of 8 c to the power of 4 end cell row blank equals cell fraction numerator b to the power of 8 c to the power of 4 over denominator 4 a to the power of 12 end fraction end cell end table 

Bentuk sederhana open parentheses 3 to the power of negative 1 end exponent a to the power of 4 b to the power of negative 3 end exponent close parentheses to the power of negative 2 end exponent over open parentheses 6 a squared b to the power of negative 1 end exponent c to the power of negative 2 end exponent close parentheses squared adalah fraction numerator b to the power of 8 c to the power of 4 over denominator 4 a to the power of 12 end fraction.

Oleh karena itu, jawaban yang benar adalah D. 

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