Bentuk sederhana dari (a12⋅b−4⋅c6a−2⋅b8⋅c10) adalah ...

Pertanyaan

Bentuk sederhana dari $open parentheses fraction numerator a to the power of negative 2 end exponent times b to the power of 8 times c to the power of 10 over denominator a to the power of 12 times b to the power of negative 4 end exponent times c to the power of 6 end fraction close parentheses$ adalah ...

$open parentheses fraction numerator b to the power of 8 times c to the power of 12 over denominator a to the power of 16 end fraction close parentheses$
$open parentheses fraction numerator b to the power of 6 times c to the power of 12 over denominator a to the power of 12 end fraction close parentheses$
$open parentheses fraction numerator b to the power of 12 times c to the power of 4 over denominator a to the power of 14 end fraction close parentheses$
$open parentheses fraction numerator b to the power of 12 times c to the power of 6 over denominator a to the power of 8 end fraction close parentheses$
$open parentheses fraction numerator b to the power of 24 times c to the power of 8 over denominator a to the power of 28 end fraction close parentheses$

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah C.

Pembahasan

Gunakan sifat-sifat operasi hitung bilangan berpangkat untuk mengerjakan soal tersebut.

$table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses fraction numerator a to the power of negative 2 end exponent times b to the power of 8 times c to the power of 10 over denominator a to the power of 12 times b to the power of negative 4 end exponent times c to the power of 6 end fraction close parentheses end cell equals cell open parentheses a to the power of negative 2 minus 12 end exponent times b to the power of 8 minus left parenthesis negative 4 right parenthesis end exponent times c to the power of 10 minus 6 end exponent close parentheses end cell row blank equals cell open parentheses a to the power of negative 14 end exponent times b to the power of 12 times c to the power of 4 close parentheses end cell row blank equals cell open parentheses fraction numerator b to the power of 12 times c to the power of 4 over denominator a to the power of 14 end fraction close parentheses end cell end table$

Oleh karena itu, jawaban yang benar adalah C.