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Pertanyaan

Bentuk sederhana dari begin mathsize 12px style open parentheses fraction numerator 9 a squared b to the power of negative 1 end exponent c cubed over denominator 27 a to the power of negative 1 end exponent b squared c squared end fraction close parentheses to the power of negative 1 end exponent end style adalah ...

  1. begin mathsize 12px style fraction numerator 3 b cubed over denominator a cubed c end fraction end style

  2. begin mathsize 12px style fraction numerator 3 b over denominator a c to the power of 5 end fraction end style

  3. begin mathsize 12px style fraction numerator 3 b cubed over denominator a cubed c to the power of 5 end fraction end style

  4. begin mathsize 12px style fraction numerator a cubed c over denominator 3 b cubed end fraction end style

  5. begin mathsize 12px style fraction numerator a cubed c to the power of 5 over denominator 3 b cubed end fraction end style

Y. Laksmi

Master Teacher

Mahasiswa/Alumni Universitas Negeri Semarang

Jawaban terverifikasi

Jawaban

 begin mathsize 12px style open parentheses fraction numerator 9 a squared b to the power of negative 1 end exponent c cubed over denominator 27 a to the power of negative 1 end exponent b squared c squared end fraction close parentheses to the power of negative 1 end exponent equals fraction numerator 3 b cubed over denominator a cubed c end fraction end style

Pembahasan

Sifat-sifat bilangan berpangkat:

  • begin mathsize 12px style a to the power of n times a to the power of m equals a to the power of n plus m end exponent end style
  • begin mathsize 12px style open parentheses p over q close parentheses to the power of negative 1 end exponent equals q over p end style
  • begin mathsize 12px style a to the power of negative n end exponent equals 1 over a to the power of n end style dan begin mathsize 12px style 1 over a to the power of negative n end exponent equals a to the power of n end style

begin mathsize 12px style open parentheses fraction numerator 9 a squared b to the power of negative 1 end exponent c cubed over denominator 27 a to the power of negative 1 end exponent b squared c squared end fraction close parentheses to the power of negative 1 end exponent  equals fraction numerator 27 a to the power of negative 1 end exponent b squared c squared over denominator 9 a squared b to the power of negative 1 end exponent c cubed end fraction  equals fraction numerator 27 b to the power of 1 b squared c squared over denominator 9 a squared a to the power of 1 c cubed end fraction  equals fraction numerator 27 b cubed c squared over denominator 9 a cubed c cubed end fraction  equals fraction numerator 3 b cubed over denominator a cubed c end fraction  end style

Jadi begin mathsize 12px style open parentheses fraction numerator 9 a squared b to the power of negative 1 end exponent c cubed over denominator 27 a to the power of negative 1 end exponent b squared c squared end fraction close parentheses to the power of negative 1 end exponent equals fraction numerator 3 b cubed over denominator a cubed c end fraction end style

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