Pertanyaan

Nilai dari 2 7 − 3 4 + 8 1 − 4 3 9 − 2 3 × 3 + 2 7 − 1 adalah ...

Nilai dari $\frac{9 ^{- \frac{3}{2}} \times 3 + 2 7 ^{- 1}}{2 7 ^{- \frac{4}{3}} + 8 1 ^{- \frac{3}{4}}}$ adalah ...

I. Roy

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah E

Pembahasan

Jadi, jawaban yang tepat adalah E

$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