Pertanyaan

Bentuk sederhanadari ( a 3 b − 2 c 2 a b 3 c − 2 ) 2 adalah ...

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

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

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Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah B.

Pembahasan

Perhatikan bahwa Jadi, jawaban yang tepat adalah B.

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.