Pertanyaan

Bentuk sederhana dari ( a − 5 b − 7 c 2 a − 3 b − 2 c ) − 2 adalah...

Bentuk sederhana dari $(\frac{a ^{- 3} b ^{- 2} c}{a ^{- 5} b ^{- 7} c ^{2}})^{- 2}$ adalah...

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Jawaban terverifikasi

Jawaban

bentuk sederhana dari adalah .

bentuk sederhana dari $open parentheses fraction numerator a to the power of negative 3 end exponent b to the power of negative 2 end exponent c over denominator a to the power of negative 5 end exponent b to the power of negative 7 end exponent c squared end fraction close parentheses to the power of negative 2 end exponent$ adalah $table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator c squared over denominator a to the power of 4 b to the power of 10 end fraction end cell end table$ .

Pembahasan

Pada eksponen berlaku aturan : Maka Jadi,bentuk sederhana dari adalah .

Pada eksponen berlaku aturan :

Maka

$table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses fraction numerator a to the power of negative 3 end exponent b to the power of negative 2 end exponent c over denominator a to the power of negative 5 end exponent b to the power of negative 7 end exponent c squared end fraction close parentheses to the power of negative 2 end exponent end cell equals cell open parentheses a to the power of negative 3 minus left parenthesis negative 5 right parenthesis end exponent b to the power of negative 2 minus left parenthesis negative 7 right parenthesis end exponent c to the power of 1 minus 2 end exponent close parentheses to the power of negative 2 end exponent end cell row blank equals cell open parentheses a to the power of negative 3 plus 5 end exponent b to the power of negative 2 plus 7 end exponent c to the power of negative 1 end exponent close parentheses to the power of negative 2 end exponent end cell row blank equals cell open parentheses a squared b to the power of 5 c to the power of negative 1 end exponent close parentheses to the power of negative 2 end exponent end cell row blank equals cell a to the power of negative 4 end exponent b to the power of negative 10 end exponent c squared end cell row blank equals cell fraction numerator c squared over denominator a to the power of 4 b to the power of 10 end fraction end cell end table$

Jadi, bentuk sederhana dari $open parentheses fraction numerator a to the power of negative 3 end exponent b to the power of negative 2 end exponent c over denominator a to the power of negative 5 end exponent b to the power of negative 7 end exponent c squared end fraction close parentheses to the power of negative 2 end exponent$ adalah $table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator c squared over denominator a to the power of 4 b to the power of 10 end fraction end cell end table$ .