Pertanyaan

Bentuk sederhana ( 6 x − 3 y − 5 4 x 2 y − 4 ) − 3 adalah ...

Bentuk sederhana $(\frac{4 x ^{2} y ^{- 4}}{6 x ^{- 3} y ^{- 5}})^{- 3}$ adalah ...

$fraction numerator 8 over denominator 27 x cubed y to the power of 15 end fraction$
$fraction numerator 8 over denominator 27 x to the power of 15 y cubed end fraction$
$fraction numerator 9 over denominator 8 x to the power of 8 y cubed end fraction$
$fraction numerator 27 over denominator 8 x cubed y cubed end fraction$
$fraction numerator 27 over denominator 8 x to the power of 15 y cubed end fraction$

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Jawaban terverifikasi

Jawaban

jawaban yang benar adalah E.

Pembahasan

Ingat sifat bilangan berpangkat: maka Bentuk sederhana adalah . Oleh karena itu, jawaban yang benar adalah E.

Ingat sifat bilangan berpangkat:

maka

$table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses fraction numerator 4 x squared y to the power of negative 4 end exponent over denominator 6 x to the power of negative 3 end exponent y to the power of negative 5 end exponent end fraction close parentheses to the power of negative 3 end exponent end cell equals cell fraction numerator 4 to the power of negative 3 end exponent x to the power of 2 open parentheses negative 3 close parentheses end exponent y to the power of negative 4 open parentheses negative 3 close parentheses end exponent over denominator 6 to the power of negative 3 end exponent x to the power of negative 3 open parentheses negative 3 close parentheses end exponent y to the power of negative 5 open parentheses negative 3 close parentheses end exponent end fraction end cell row blank equals cell fraction numerator open parentheses 2 squared close parentheses to the power of negative 3 end exponent x to the power of negative 6 end exponent y to the power of 12 over denominator open parentheses 2 cross times 3 close parentheses to the power of negative 3 end exponent x to the power of 9 y to the power of 15 end fraction end cell row blank equals cell fraction numerator 2 to the power of 2 open parentheses negative 3 close parentheses end exponent x to the power of negative 6 end exponent y to the power of 12 over denominator 2 to the power of negative 3 end exponent times 3 to the power of negative 3 end exponent x to the power of 9 y to the power of 15 end fraction end cell row blank equals cell fraction numerator 2 to the power of negative 6 end exponent x to the power of negative 6 end exponent y to the power of 12 over denominator 2 to the power of negative 3 end exponent times 3 to the power of negative 3 end exponent x to the power of 9 y to the power of 15 end fraction end cell row blank equals cell open parentheses 2 to the power of negative 6 end exponent over 2 to the power of negative 3 end exponent close parentheses open parentheses 1 over 3 to the power of negative 3 end exponent close parentheses open parentheses x to the power of negative 6 end exponent over x to the power of 9 close parentheses open parentheses y to the power of 12 over y to the power of 15 close parentheses end cell row blank equals cell 2 to the power of negative 6 minus open parentheses negative 3 close parentheses end exponent times 3 cubed times x to the power of negative 6 minus 9 end exponent times y to the power of 12 minus 15 end exponent end cell row blank equals cell 2 to the power of negative 3 end exponent times 3 cubed times x to the power of negative 15 end exponent times y to the power of negative 3 end exponent end cell row blank equals cell fraction numerator 3 cubed over denominator 2 cubed x to the power of 15 y cubed end fraction end cell row blank equals cell fraction numerator 27 over denominator 8 x to the power of 15 y cubed end fraction end cell end table$

Bentuk sederhana $open parentheses fraction numerator 4 x squared y to the power of negative 4 end exponent over denominator 6 x to the power of negative 3 end exponent y to the power of negative 5 end exponent end fraction close parentheses to the power of negative 3 end exponent$ adalah $fraction numerator 27 over denominator 8 x to the power of 15 y cubed end fraction$ .

Oleh karena itu, jawaban yang benar adalah E.