Pertanyaan

Hasil dari ( 3 5 y 2 2 4 xy − 5 ) − 1 ( 3 x − 1 y 2 2 x − 2 y − 1 ) 2 adalah ...

Hasil dari $(\frac{2 ^{4} xy ^{- 5}}{3 ^{5} y ^{2}})^{- 1} (\frac{2 ^{2} x ^{- 2} y ^{- 1}}{3 x ^{- 1} y})^{2}$ adalah ...

$fraction numerator 9 text x end text squared over denominator text y end text cubed end fraction$
$fraction numerator 27 text y end text cubed over denominator text x end text cubed end fraction$
$fraction numerator 729 text y end text cubed over denominator text x end text cubed end fraction$
$fraction numerator 81 text x end text cubed over denominator text y end text cubed end fraction$

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Jawaban terverifikasi

Jawaban

jawaban yeng tepat adalah C.

Pembahasan

Sifat-sifat bilangan berpangkat di antaranya sebagai berikut. , , , , Penyelesaian soal di atas adalah sebagai berikut. Oleh karena itu, jawaban yeng tepat adalah C.

Sifat-sifat bilangan berpangkat di antaranya sebagai berikut.

a to the power of m times a to the power of n equals a to the power of m plus n end exponent

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 not equal to 0

a to the power of negative m end exponent equals 1 over a to the power of m , a not equal to 0

open parentheses a times b close parentheses to the power of m equals a to the power of m times b to the power of m

open parentheses a over b close parentheses to the power of m equals a to the power of m over b to the power of m , b not equal to 0

a to the power of 0 equals 1 , a not equal to 0

Penyelesaian soal di atas adalah sebagai berikut.

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

Oleh karena itu, jawaban yeng tepat adalah C.