Pertanyaan

Bentuk sederhana dari ( 12 a − 5 b 4 c − 1 4 a − 2 b 2 c ) − 1 adalah ....

Bentuk sederhana dari $(\frac{4 a ^{- 2} b ^{2} c}{12 a ^{- 5} b ^{4} c ^{- 1}})^{- 1}$ adalah ....

$table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 3 italic b squared over denominator italic a cubed italic c squared end fraction end cell end table$
$table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 3 italic b to the power of 6 over denominator italic a to the power of 7 italic c squared end fraction end cell end table$
$table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 3 italic b to the power of 6 over denominator italic a cubed italic c end fraction end cell end table$
$table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator italic a to the power of italic 3 italic c to the power of italic 2 over denominator italic 3 italic b to the power of italic 2 end fraction end cell end table$
$table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator italic a to the power of 7 italic c to the power of italic 2 over denominator italic 3 italic b to the power of 6 end fraction end cell end table$

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Jawaban terverifikasi

Jawaban

jawaban yang benar adalah A

Pembahasan

Dengan menggunakan sifat eksponen diketahui : Maka bentuk sederhana dari adalah Oleh karena itu, jawaban yang benar adalah A

Dengan menggunakan sifat eksponen diketahui :

$table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses fraction numerator 4 a to the power of negative 2 end exponent b squared c over denominator 12 a to the power of negative 5 end exponent b to the power of 4 c to the power of negative 1 end exponent end fraction close parentheses to the power of negative 1 end exponent end cell equals cell fraction numerator 12 a to the power of negative 5 end exponent b to the power of 4 c to the power of negative 1 end exponent over denominator 4 a to the power of negative 2 end exponent b squared c end fraction end cell row blank equals cell 3 a to the power of open parentheses negative 5 minus left parenthesis negative 2 right parenthesis close parentheses end exponent b to the power of open parentheses 4 minus 2 close parentheses end exponent c to the power of open parentheses negative 1 minus 1 close parentheses end exponent end cell row blank equals cell 3 a to the power of negative 3 end exponent b squared c to the power of negative 2 end exponent end cell row blank equals cell fraction numerator 3 b squared over denominator a cubed c squared end fraction end cell end table$

Maka bentuk sederhana dari $open parentheses fraction numerator 4 a to the power of negative 2 end exponent b squared c over denominator 12 a to the power of negative 5 end exponent b to the power of 4 c to the power of negative 1 end exponent end fraction close parentheses to the power of negative 1 end exponent$ adalah $table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 3 italic b squared over denominator italic a cubed italic c squared end fraction end cell end table$

Oleh karena itu, jawaban yang benar adalah A