Pertanyaan

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

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

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Jawaban terverifikasi

Jawaban

bentuk sederhana dari adalah

bentuk sederhana dari $open parentheses fraction numerator a to the power of negative 2 end exponent b cubed c to the power of negative 1 end exponent over denominator a to the power of negative 1 end exponent b squared c cubed end fraction close parentheses squared$ adalah $fraction numerator b squared over denominator a squared c to the power of 8 end fraction$

Pembahasan

Perhatikan bahwa Jadi, bentuk sederhana dari adalah

Perhatikan bahwa

$table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses fraction numerator a to the power of negative 2 end exponent b cubed c to the power of negative 1 end exponent over denominator a to the power of negative 1 end exponent b squared c cubed end fraction close parentheses squared end cell equals cell open parentheses a to the power of negative 2 minus left parenthesis negative 1 right parenthesis end exponent b to the power of 3 minus 2 end exponent c to the power of negative 1 minus 3 end exponent close parentheses squared end cell row blank equals cell open parentheses a to the power of negative 1 end exponent b to the power of 1 c to the power of negative 4 end exponent close parentheses squared end cell row blank equals cell a to the power of negative 1 cross times 2 end exponent b to the power of 1 cross times 2 end exponent c to the power of negative 4 cross times 2 end exponent end cell row blank equals cell a to the power of negative 2 end exponent b squared c to the power of negative 8 end exponent end cell row blank equals cell fraction numerator b squared over denominator a squared c to the power of 8 end fraction end cell end table$

Jadi, bentuk sederhana dari $open parentheses fraction numerator a to the power of negative 2 end exponent b cubed c to the power of negative 1 end exponent over denominator a to the power of negative 1 end exponent b squared c cubed end fraction close parentheses squared$ adalah $fraction numerator b squared over denominator a squared c to the power of 8 end fraction$