Pertanyaan

Hasil dari ( 3 x 2 y 2 xy 2 ) 3 : ( 3 x 2 y 3 4 xy ) 2 adalah ...

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

$fraction numerator text y end text to the power of 7 over denominator text x end text end fraction$
$fraction numerator 3 text y end text to the power of 7 over denominator 2 text x end text end fraction$
$fraction numerator 2 text y end text to the power of 7 over denominator 3 text x end text end fraction$
$fraction numerator 6 text y end text to the power of 7 over denominator text x end text end fraction$
$fraction numerator text y end text to the power of 7 over denominator 6 text x end text end fraction$

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Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah E.

Pembahasan

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

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

open parentheses a to the power of m close parentheses to the power of n equals a to the power of m n end exponent

Penyelesaian soal di atas adalah sebagai berikut.

$table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses fraction numerator 2 x y squared over denominator 3 x squared y end fraction close parentheses cubed divided by open parentheses fraction numerator 4 x y over denominator 3 x squared y cubed end fraction close parentheses squared end cell equals cell open parentheses 2 x y squared close parentheses cubed over open parentheses 3 x squared y close parentheses cubed divided by open parentheses 4 x y close parentheses squared over open parentheses 3 x squared y cubed close parentheses squared end cell row blank equals cell fraction numerator 2 cubed x cubed y to the power of 6 over denominator 3 cubed x to the power of 6 y cubed end fraction divided by fraction numerator 4 squared x squared y squared over denominator 3 squared x to the power of 4 y to the power of 6 end fraction end cell row blank equals cell fraction numerator 2 cubed x cubed y to the power of 6 over denominator 3 cubed x to the power of 6 y cubed end fraction cross times fraction numerator 3 squared x to the power of 4 y to the power of 6 over denominator open parentheses 2 squared close parentheses squared x squared y squared end fraction end cell row blank equals cell fraction numerator 2 cubed times 3 squared times x to the power of 3 plus 4 end exponent times y to the power of 6 plus 6 end exponent over denominator 2 to the power of 4 times 3 cubed times x to the power of 6 plus 2 end exponent times y to the power of 3 plus 2 end exponent end fraction end cell row blank equals cell fraction numerator 2 cubed times 3 squared times x to the power of 7 times y to the power of 12 over denominator 2 to the power of 4 times 3 cubed times x to the power of 8 times y to the power of 5 end fraction end cell row blank equals cell 2 to the power of 3 minus 4 end exponent times 3 to the power of 2 minus 3 end exponent times x to the power of 7 minus 8 end exponent times y to the power of 12 minus 5 end exponent end cell row blank equals cell 2 to the power of negative 1 end exponent times 3 to the power of negative 1 end exponent times x to the power of negative 1 end exponent times y to the power of 7 end cell row blank equals cell fraction numerator y to the power of 7 over denominator 2 times 3 times x end fraction end cell row blank equals cell fraction numerator y to the power of 7 over denominator 6 x end fraction end cell end table$

Oleh karena itu, jawaban yang tepat adalah E.