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Pertanyaan

Nilai dari begin mathsize 14px style fraction numerator 9 to the power of negative begin display style 3 over 2 end style end exponent cross times 3 plus 27 to the power of negative 1 end exponent over denominator 27 to the power of negative begin display style 4 over 3 end style end exponent plus 81 to the power of negative begin display style 3 over 4 end style end exponent end fraction end styleadalah ...

  1. begin mathsize 14px style 21 end style  

  2. begin mathsize 14px style 14 end style 

  3. begin mathsize 14px style 7 7 over 8 end style  

  4. begin mathsize 14px style 7 end style  

  5. begin mathsize 14px style 3 end style   

I. Roy

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah E

Pembahasan

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 9 to the power of negative begin display style 3 over 2 end style end exponent cross times 3 plus 27 to the power of negative 1 end exponent over denominator 27 to the power of negative begin display style 4 over 3 end style end exponent plus 81 to the power of negative begin display style 3 over 4 end style end exponent end fraction end cell equals cell fraction numerator open parentheses 3 squared close parentheses to the power of negative begin display style 3 over 2 end style plus 1 end exponent plus open parentheses 3 cubed close parentheses to the power of negative 1 end exponent over denominator open parentheses 3 cubed close parentheses to the power of negative begin display style 4 over 3 end style end exponent plus open parentheses 3 to the power of 4 close parentheses to the power of negative begin display style 3 over 4 end style end exponent end fraction end cell row blank equals cell fraction numerator 3 to the power of negative 3 plus 1 end exponent plus 3 to the power of negative 3 end exponent over denominator 3 to the power of negative 4 end exponent plus 3 to the power of negative 3 end exponent end fraction end cell row blank equals cell fraction numerator 3 to the power of negative 2 end exponent plus 3 to the power of negative 3 end exponent over denominator 3 to the power of negative 4 end exponent plus 3 to the power of negative 3 end exponent end fraction end cell row blank equals cell fraction numerator begin display style 1 over 9 end style plus begin display style 1 over 27 end style over denominator begin display style 1 over 81 end style plus begin display style 1 over 27 end style end fraction end cell row blank equals cell fraction numerator begin display style fraction numerator 3 plus 1 over denominator 27 end fraction end style over denominator begin display style fraction numerator 1 plus 3 over denominator 81 end fraction end style end fraction end cell row blank equals cell fraction numerator up diagonal strike 4 over denominator up diagonal strike 27 end fraction times fraction numerator begin display style stack up diagonal strike 81 with 3 on top end style over denominator up diagonal strike 4 end fraction end cell row blank equals 3 row blank blank blank end table end style 

Jadi, jawaban yang tepat adalah E

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