Pertanyaan

Bentuk sederhana ( 6 a 2 b − 1 c − 2 ) 2 ( 3 − 1 a 4 b − 3 ) − 2 adalah ...

Bentuk sederhana $\frac{( 3 ^{- 1} a ^{4} b ^{- 3} ) ^{- 2}}{( 6 a ^{2} b ^{- 1} c ^{- 2} ) ^{2}}$ adalah ...

$fraction numerator a to the power of 12 b to the power of 8 over denominator 4 c to the power of 4 end fraction$
$fraction numerator a to the power of 8 b to the power of 12 over denominator 4 c to the power of 4 end fraction$
$fraction numerator 4 b to the power of 12 over denominator a to the power of 8 b to the power of 4 end fraction$
$fraction numerator b to the power of 8 c to the power of 4 over denominator 4 a to the power of 12 end fraction$
$fraction numerator 4 b to the power of 8 over denominator a to the power of 12 c to the power of 4 end fraction$

S. Amamah

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah D.

Pembahasan

Ingat sifat bilangan berpangkat: maka Bentuk sederhana adalah . Oleh karena itu, jawaban yang benar adalah D.

Ingat sifat bilangan berpangkat:

maka

$table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses 3 to the power of negative 1 end exponent a to the power of 4 b to the power of negative 3 end exponent close parentheses to the power of negative 2 end exponent over open parentheses 6 a squared b to the power of negative 1 end exponent c to the power of negative 2 end exponent close parentheses squared end cell equals cell fraction numerator 3 to the power of negative 1 open parentheses negative 2 close parentheses end exponent a to the power of 4 open parentheses negative 2 close parentheses end exponent b to the power of negative 3 open parentheses negative 2 close parentheses end exponent over denominator 6 squared a to the power of 2 times 2 end exponent b to the power of negative 1 times 2 end exponent c to the power of negative 2 times 2 end exponent end fraction end cell row blank equals cell fraction numerator 3 squared a to the power of negative 8 end exponent b to the power of 6 over denominator 6 squared a to the power of 4 b to the power of negative 2 end exponent c to the power of negative 4 end exponent end fraction end cell row blank equals cell open parentheses 9 over 36 close parentheses open parentheses a to the power of negative 8 end exponent over a to the power of 4 close parentheses open parentheses b to the power of 6 over b to the power of negative 2 end exponent close parentheses open parentheses 1 over c to the power of negative 4 end exponent close parentheses end cell row blank equals cell 1 fourth a to the power of negative 8 minus 4 end exponent b to the power of 6 minus open parentheses negative 2 close parentheses end exponent c to the power of 4 end cell row blank equals cell 1 fourth a to the power of negative 12 end exponent b to the power of 8 c to the power of 4 end cell row blank equals cell fraction numerator b to the power of 8 c to the power of 4 over denominator 4 a to the power of 12 end fraction end cell end table$

Bentuk sederhana open parentheses 3 to the power of negative 1 end exponent a to the power of 4 b to the power of negative 3 end exponent close parentheses to the power of negative 2 end exponent over open parentheses 6 a squared b to the power of negative 1 end exponent c to the power of negative 2 end exponent close parentheses squared adalah $fraction numerator b to the power of 8 c to the power of 4 over denominator 4 a to the power of 12 end fraction$ .

Oleh karena itu, jawaban yang benar adalah D.