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Bentuk sederhana dari (a3b−2c2ab3c−2​)2 adalah ...

Pertanyaan

Bentuk sederhana dari begin mathsize 14px style open parentheses fraction numerator a b cubed c to the power of negative 2 end exponent over denominator a cubed b to the power of negative 2 end exponent c squared end fraction close parentheses squared end style adalah begin mathsize 14px style... end style 

  1. begin mathsize 14px style fraction numerator b squared c squared over denominator a to the power of 4 end fraction end style 

  2. begin mathsize 14px style fraction numerator b to the power of 10 over denominator a to the power of 4 c to the power of 8 end fraction end style 

  3. begin mathsize 14px style fraction numerator b squared c squared over denominator a to the power of 8 end fraction end style

  4. begin mathsize 14px style fraction numerator b squared over denominator a to the power of 4 c squared end fraction end style

A. Damanhuri

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah B.

Pembahasan

Perhatikan bahwa

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses fraction numerator a b cubed c to the power of negative 2 end exponent over denominator a cubed b to the power of negative 2 end exponent c squared end fraction close parentheses squared end cell equals cell open parentheses a to the power of 1 minus 3 end exponent b to the power of 3 minus open parentheses negative 2 close parentheses end exponent c to the power of negative 2 minus 2 end exponent close parentheses squared end cell row blank equals cell open parentheses a to the power of negative 2 end exponent b to the power of 5 c to the power of negative 4 end exponent close parentheses squared end cell row blank equals cell a to the power of negative 4 end exponent b to the power of 10 c to the power of negative 8 end exponent end cell row blank equals cell fraction numerator b to the power of 10 over denominator a to the power of 4 c to the power of 8 end fraction end cell end table end style

Jadi, jawaban yang tepat adalah B.

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