Pertanyaan

Bentuk sederhana dari 6 a − 2 b − 3 c − 8 24 a − 7 b − 7 c = ...

Bentuk sederhana dari $\frac{24 a ^{- 7} b ^{- 7} c}{6 a ^{- 2} b ^{- 3} c ^{- 8}} = ...$

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Jawaban terverifikasi

Jawaban

bentuk sederhana

bentuk sederhana $table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 24 a to the power of negative 7 end exponent b to the power of negative 7 end exponent c over denominator 6 a to the power of negative 2 end exponent b to the power of negative 3 end exponent c to the power of negative 8 end exponent end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 4 c to the power of 9 over denominator a to the power of 5 b to the power of 4 end fraction end cell end table$

Pembahasan

Sifat eksponen: Bentuk sederhana dari bentuk eksponen tersebut adalah sebagai berikut. Dengan demikian, bentuk sederhana

Sifat eksponen:

a to the power of m over a to the power of n equals a to the power of m minus n end exponent

a to the power of negative n end exponent equals 1 over a to the power of n

Bentuk sederhana dari bentuk eksponen tersebut adalah sebagai berikut.

$table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 24 a to the power of negative 7 end exponent b to the power of negative 7 end exponent c over denominator 6 a to the power of negative 2 end exponent b to the power of negative 3 end exponent c to the power of negative 8 end exponent end fraction end cell equals cell 4 times a to the power of negative 7 minus open parentheses negative 2 close parentheses end exponent times b to the power of negative 7 minus open parentheses negative 3 close parentheses end exponent times c to the power of 1 minus open parentheses negative 8 close parentheses end exponent end cell row blank equals cell 4 times a to the power of negative 5 end exponent times b to the power of negative 4 end exponent times c to the power of 9 end cell row blank equals cell fraction numerator 4 c to the power of 9 over denominator a to the power of 5 b to the power of 4 end fraction end cell end table$

Dengan demikian, bentuk sederhana $table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 24 a to the power of negative 7 end exponent b to the power of negative 7 end exponent c over denominator 6 a to the power of negative 2 end exponent b to the power of negative 3 end exponent c to the power of negative 8 end exponent end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 4 c to the power of 9 over denominator a to the power of 5 b to the power of 4 end fraction end cell end table$