Bentuk sederhana dari (ab−6c4a−4b2c2)−2 adalah ...

Pertanyaan

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

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

bentuk sederhana dari $open parentheses fraction numerator a to the power of negative 4 end exponent b squared c squared over denominator a b to the power of negative 6 end exponent c to the power of 4 end fraction close parentheses to the power of negative 2 end exponent$ adalah $table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator a to the power of 10 c to the power of 4 over denominator b to the power of 16 end fraction end cell end table$

Pembahasan

$table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses fraction numerator a to the power of negative 4 end exponent b squared c squared over denominator a b to the power of negative 6 end exponent c to the power of 4 end fraction close parentheses to the power of negative 2 end exponent end cell equals cell open parentheses a to the power of negative 4 minus 1 end exponent b to the power of 2 minus open parentheses negative 6 close parentheses end exponent c to the power of 2 minus 4 end exponent close parentheses to the power of negative 2 end exponent end cell row blank equals cell open parentheses a to the power of negative 5 end exponent b to the power of 8 c to the power of negative 2 end exponent close parentheses to the power of negative 2 end exponent end cell row blank equals cell a to the power of 10 b to the power of negative 16 end exponent c to the power of 4 end cell row blank equals cell fraction numerator a to the power of 10 c to the power of 4 over denominator b to the power of 16 end fraction end cell end table$

Jadi, bentuk sederhana dari $open parentheses fraction numerator a to the power of negative 4 end exponent b squared c squared over denominator a b to the power of negative 6 end exponent c to the power of 4 end fraction close parentheses to the power of negative 2 end exponent$ adalah $table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator a to the power of 10 c to the power of 4 over denominator b to the power of 16 end fraction end cell end table$