Pertanyaan

Bentuk sederhana dari ( a 6 b − 2 c 3 a − 2 b 4 c 5 ) 2 adalah ... .

Bentuk sederhana dari $(\frac{a ^{- 2} b ^{4} c ^{5}}{a ^{6} b ^{- 2} c ^{3}})^{2}$ adalah ... .

$fraction numerator b to the power of 8 c to the power of 12 over denominator a to the power of 16 end fraction$
$fraction numerator b to the power of 16 c to the power of 6 over denominator a to the power of 16 end fraction$
$fraction numerator b to the power of 6 c to the power of 12 over denominator a to the power of 12 end fraction$
$fraction numerator b to the power of 12 c to the power of 6 over denominator a to the power of 8 end fraction$
$fraction numerator b to the power of 12 c to the power of 4 over denominator a to the power of 16 end fraction$

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Jawaban terverifikasi

Jawaban

jawaban yang benar adalah E.

Pembahasan

Bentuk sederhana dari didapatkan: Dengan demikian,bentuk sederhana dari adalah . Jadi, jawaban yang benar adalah E.

Bentuk sederhana dari $open parentheses fraction numerator a to the power of negative 2 end exponent b to the power of 4 c to the power of 5 over denominator a to the power of 6 b to the power of negative 2 end exponent c cubed end fraction close parentheses squared$ didapatkan:

$table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses fraction numerator a to the power of negative 2 end exponent b to the power of 4 c to the power of 5 over denominator a to the power of 6 b to the power of negative 2 end exponent c cubed end fraction close parentheses squared end cell equals cell open parentheses a to the power of negative 8 end exponent b to the power of 6 c squared close parentheses squared end cell row blank equals cell a to the power of negative 16 end exponent b to the power of 12 c to the power of 4 end cell row blank equals cell fraction numerator b to the power of 12 c to the power of 4 over denominator a to the power of 16 end fraction end cell end table$

Dengan demikian, bentuk sederhana dari $open parentheses fraction numerator a to the power of negative 2 end exponent b to the power of 4 c to the power of 5 over denominator a to the power of 6 b to the power of negative 2 end exponent c cubed end fraction close parentheses squared$ adalah $table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator b to the power of 12 c to the power of 4 over denominator a to the power of 16 end fraction end cell end table$ .

Jadi, jawaban yang benar adalah E.