Pertanyaan

Bentuk sederhana dari ( p 4 q − 2 r 3 ) − 1 ( p − 3 q 5 r − 7 ) 2 adalah ...

Bentuk sederhana dari $\frac{( p ^{- 3} q ^{5} r ^{- 7} ) ^{2}}{( p ^{4} q ^{- 2} r ^{3} ) ^{- 1}}$ adalah ...

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Jawaban terverifikasi

Jawaban

bentuk sederhana dari adalah

bentuk sederhana dari open parentheses p to the power of negative 3 end exponent q to the power of 5 r to the power of negative 7 end exponent close parentheses squared over open parentheses p to the power of 4 q to the power of negative 2 end exponent r cubed close parentheses to the power of negative 1 end exponent

open parentheses p to the power of negative 3 end exponent q to the power of 5 r to the power of negative 7 end exponent close parentheses squared over open parentheses p to the power of 4 q to the power of negative 2 end exponent r cubed close parentheses to the power of negative 1 end exponent

adalah $fraction numerator q to the power of 8 over denominator p squared r to the power of 11 end fraction$

Pembahasan

Jadi, bentuk sederhana dari adalah

$table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses p to the power of negative 3 end exponent q to the power of 5 r to the power of negative 7 end exponent close parentheses squared over open parentheses p to the power of 4 q to the power of negative 2 end exponent r cubed close parentheses to the power of negative 1 end exponent end cell equals cell fraction numerator p to the power of negative 6 end exponent q to the power of 10 r to the power of negative 14 end exponent over denominator p to the power of negative 4 end exponent q squared r to the power of negative 3 end exponent end fraction end cell row blank equals cell p to the power of negative 6 minus open parentheses negative 4 close parentheses end exponent q to the power of 10 minus 2 end exponent r to the power of negative 14 minus open parentheses negative 3 close parentheses end exponent end cell row blank equals cell p to the power of negative 6 plus 4 end exponent q to the power of 8 r to the power of negative 14 plus 3 end exponent end cell row blank equals cell p to the power of negative 2 end exponent q to the power of 8 r to the power of negative 11 end exponent end cell row blank equals cell fraction numerator q to the power of 8 over denominator p squared r to the power of 11 end fraction end cell end table$

Jadi, bentuk sederhana dari open parentheses p to the power of negative 3 end exponent q to the power of 5 r to the power of negative 7 end exponent close parentheses squared over open parentheses p to the power of 4 q to the power of negative 2 end exponent r cubed close parentheses to the power of negative 1 end exponent adalah $fraction numerator q to the power of 8 over denominator p squared r to the power of 11 end fraction$