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Bentuk sederhana dari  adalah ....

Pertanyaan

Bentuk sederhana dari begin mathsize 14px style open parentheses a to the power of negative 4 end exponent b to the power of negative 9 end exponent c to the power of 4 close parentheses squared over open parentheses 3 a cubed b to the power of 6 c to the power of negative 2 end exponent close parentheses to the power of negative 3 end exponent end style adalah ....

  1. begin mathsize 14px style 27 a c squared end style 

  2. begin mathsize 14px style 3 a c squared end style 

  3. begin mathsize 14px style fraction numerator 3 a over denominator b squared c end fraction end style 

  4. begin mathsize 14px style fraction numerator b squared over denominator 3 a c end fraction end style 

  5. begin mathsize 14px style fraction numerator a c squared over denominator 27 end fraction end style 

Pembahasan Soal:

Dalam penyederhanaan bilangan berpangkat perlu diingat sifat-sifat berikut,

begin mathsize 14px style open parentheses a to the power of b close parentheses to the power of c equals a to the power of b c end exponent a to the power of m plus a to the power of n equals a to the power of m plus n end exponent a to the power of negative p end exponent equals 1 over a to the power of p end style 

Oleh karena itu,

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses a to the power of negative 4 end exponent b to the power of negative 9 end exponent c to the power of 4 close parentheses squared over open parentheses 3 a cubed b to the power of 6 c to the power of negative 2 end exponent close parentheses to the power of negative 3 end exponent end cell equals cell fraction numerator a to the power of negative 8 end exponent b to the power of negative 18 end exponent c to the power of 8 over denominator 3 to the power of negative 3 end exponent a to the power of negative 9 end exponent b to the power of negative 18 end exponent c to the power of 6 end fraction end cell row blank equals cell 3 cubed a to the power of negative 8 plus 9 end exponent b to the power of negative 18 plus 18 end exponent c to the power of 8 minus 6 end exponent end cell row blank equals cell 27 a to the power of 1 b to the power of 0 c squared end cell row blank equals cell 27 a c squared end cell end table end style    

Dengan demikian, bentuk sederhana dari begin mathsize 14px style open parentheses a to the power of negative 4 end exponent b to the power of negative 9 end exponent c to the power of 4 close parentheses squared over open parentheses 3 a cubed b to the power of 6 c to the power of negative 2 end exponent close parentheses to the power of negative 3 end exponent end style adalah begin mathsize 14px style 27 a c squared end style.

Jadi, jawaban yang tepat adalah A.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 13 Maret 2021

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