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Bentuk sederhana dari open parentheses fraction numerator 4 p squared q to the power of negative 2 end exponent r to the power of 5 over denominator 24 p to the power of negative 3 end exponent q to the power of 4 r to the power of 4 end fraction close parentheses to the power of negative 2 end exponent adalah ...

  1. fraction numerator 36 q to the power of 12 over denominator p to the power of 10 r squared end fraction

  2. fraction numerator 6 q to the power of 12 over denominator p to the power of 10 r squared end fraction

  3. fraction numerator q to the power of 12 over denominator 6 p to the power of 10 r squared end fraction

  4. fraction numerator p to the power of 10 r squared over denominator 6 q to the power of 12 end fraction

  5. fraction numerator p to the power of 10 r squared over denominator 36 q to the power of 12 end fraction

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah A.

Pembahasan

Ingat sifat-sifat pada bilangan berpangkat, bilangan berpangkat positif maupun bilangan berpangkat  negatif. 

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses fraction numerator 4 p squared q to the power of negative 2 end exponent r to the power of 5 over denominator 24 p to the power of negative 3 end exponent q to the power of 4 r to the power of 4 end fraction close parentheses to the power of negative 2 end exponent end cell equals cell open parentheses fraction numerator p squared p cubed q to the power of negative 2 end exponent q to the power of negative 4 end exponent r to the power of 5 r to the power of negative 4 end exponent over denominator 6 end fraction close parentheses to the power of negative 2 end exponent end cell row blank equals cell open parentheses fraction numerator p to the power of 5 q to the power of negative 6 end exponent r to the power of 1 over denominator 6 end fraction close parentheses to the power of negative 2 end exponent end cell row blank equals cell fraction numerator p to the power of negative 10 end exponent q to the power of 12 r to the power of negative 2 end exponent over denominator 6 to the power of negative 2 end exponent end fraction end cell row blank equals cell fraction numerator 6 squared q to the power of 12 over denominator p to the power of 10 r squared end fraction end cell row blank equals cell fraction numerator 36 q to the power of 12 over denominator p to the power of 10 r squared end fraction end cell end table

Oleh karena itu, jawaban yang benar adalah A.

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