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Hasil dari open parentheses fraction numerator 2 to the power of 4 text xy end text to the power of negative 5 end exponent over denominator 3 to the power of 5 text y end text squared end fraction close parentheses to the power of negative 1 end exponent open parentheses fraction numerator 2 squared text x end text to the power of negative 2 end exponent text y end text to the power of negative 1 end exponent over denominator 3 text x end text to the power of negative 1 end exponent text y end text end fraction close parentheses squared adalah ...

  1. 3 text x end text cubed text y end text cubed 

  2. fraction numerator 9 text x end text squared over denominator text y end text cubed end fraction 

  3. fraction numerator 27 text y end text cubed over denominator text x end text cubed end fraction 

  4. fraction numerator 729 text y end text cubed over denominator text x end text cubed end fraction 

  5. fraction numerator 81 text x end text cubed over denominator text y end text cubed end fraction 

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yeng tepat adalah C.

Pembahasan

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 ma 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 mb not equal to 0

a to the power of 0 equals 1a 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.

401

5.0 (11 rating)

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