Pertanyaan

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

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

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

bentuk sederhana dari adalah .

bentuk sederhana dari $open parentheses fraction numerator a squared b to the power of 4 c to the power of negative 2 end exponent over denominator a b squared c to the power of negative 1 end exponent end fraction close parentheses cubed$ adalah $fraction numerator a cubed b to the power of 6 over denominator c cubed end fraction$ .

Pembahasan

Perhatikan Jadi, bentuk sederhana dari adalah .

Perhatikan

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

Jadi, bentuk sederhana dari $open parentheses fraction numerator a squared b to the power of 4 c to the power of negative 2 end exponent over denominator a b squared c to the power of negative 1 end exponent end fraction close parentheses cubed$ adalah $fraction numerator a cubed b to the power of 6 over denominator c cubed end fraction$ .