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Pertanyaan

− 3 x 3 ( − y ) − 3 12 x − 3 y ​ = ⋯ .

.

  1. begin mathsize 14px style negative fraction numerator 4 y to the power of 4 over denominator x to the power of 6 end fraction end style

  2. begin mathsize 14px style negative fraction numerator 2 y to the power of 4 over denominator x to the power of 6 end fraction end style

  3. begin mathsize 14px style fraction numerator 4 y to the power of 4 over denominator x to the power of 6 end fraction end style

  4. begin mathsize 14px style 4 y to the power of 4 end style

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Y. Umi

Master Teacher

Mahasiswa/Alumni Universitas Gadjah Mada

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah C.

jawaban yang tepat adalah C.

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Pembahasan

Ingat bahwa , , dan . Maka Jadi, jawaban yang tepat adalah C.

Ingat bahwa begin mathsize 14px style a to the power of m cross times a to the power of n equals a to the power of m plus n end exponent end style, begin mathsize 14px style a to the power of negative n end exponent equals 1 over a to the power of n end style, dan begin mathsize 14px style a to the power of m divided by a to the power of n equals a to the power of m minus n end exponent end style. Maka

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 12 x to the power of negative 3 end exponent y over denominator negative 3 x cubed left parenthesis negative y right parenthesis to the power of negative 3 end exponent end fraction end cell equals cell negative fraction numerator 4 x to the power of negative 3 end exponent y left parenthesis negative y right parenthesis cubed right parenthesis over denominator x cubed end fraction end cell row blank equals cell negative 4 x to the power of negative 3 minus 3 end exponent y left parenthesis negative y cubed right parenthesis end cell row blank equals cell 4 x to the power of negative 3 minus 3 end exponent y left parenthesis y cubed right parenthesis end cell row blank equals cell 4 x to the power of negative 3 minus 3 end exponent y to the power of 1 plus 3 end exponent end cell row blank equals cell 4 x to the power of negative 6 end exponent y to the power of 4 end cell row blank equals cell fraction numerator 4 y to the power of 4 over denominator x to the power of 6 end fraction end cell end table end style

Jadi, jawaban yang tepat adalah C.

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